Engineering: Electrical - Major #3013

Certificate of Achievement Program Map
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The program map below represents an efficient and effective course taking sequence for this program. Individual circumstances might require some changes to this path. It is always recommended that you meet with your pathway counselor to develop a personalized educational plan.


This certificate of achievement is designed as basic coursework necessary for pursuing a career in the field of electrical engineering.

Upon completion of the program, students will:
  1. 1. An ability to apply knowledge, techniques, skills and modern tools of mathematics, science, engineering, and technology to solve broadly-defined engineering problems appropriate to the discipline.
  2. 2. An ability to design systems, components, or processes meeting specified needs for broadly-defined engineering problems appropriate to the discipline.
  3. 3. An ability to apply written, oral, and graphical communication in broadly-defined technical and non-technical environments; and an ability to identify and use appropriate technical literature.
  4. 4. An ability to conduct standard tests, measurements, and experiments and to analyze and interpret the results to improve processes.
  5. 5. An ability to function effectively as a member or leader on a technical team.
Effective Term: 2023 Spring Semester

Term 1

10-12 units

ENGR 10
Introduction to Engineering

2 units
Effective Term: 2025 Spring Semester
This course explores the branches of engineering, the functions of an engineer, and the industries in which engineers work. Explains the engineering education pathways and explores effective strategies for students to reach their full academic potential. Presents an introduction to the methods and tools of engineering problem solving and design including experimentation, data analysis, computer and communication skills, and the interface of the engineer with society and engineering ethics. (A, CSU, UC)

MATH 5A
Mathematical Analysis I

5 units
Effective Term: 2025 Fall Semester
This course is an introduction to differential and integral calculus. This includes analytical geometry, differentiation and integration of functions, limits, continuity, the Fundamental Theorem of Calculus, and applications of differentiation. (A, CSU, UC, Cal-GETC)
Course Details:
  1. Prerequisite: MATH 4B
  2. Prerequisite: MATH 4A
  3. Prerequisite: MATH 3A
  1. A: Mathematic
  1. B4 - Mathematics/Quantitative Thinking
  2. CSU Transfer Course
  1. D2 - Analytical Thinking: Mathematics

Math placement may vary depending on multiple measures (high school math, previous math course taken at another institution, etc.)

Major Core

3-5 units

Select one of the following: 

CHEM 1A
General Chemistry I

5 units
Effective Term: 2025 Fall Semester
Development of atomic theory; atoms, isotopes, molecules, and ions; compounds; classification of matter; formulas and equations; stoichiometry; introduction to aqueous reactions: precipitation, acids and bases, and gas forming and redox reactions; gas laws; kinetic molecular theory of gases; thermochemistry; modern atomic theory; VSEPR theory; valence bond (hybridization) and molecular orbital theories; intermolecular forces; properties of liquids; solids and crystal structures; solution behavior; colligative properties; associated laboratory experiments; and volumetric (titrimetric) and gravimetric analysis methods. (A, CSU, UC, Cal-GETC)
Course Details:
  1. Prerequisite: MATH 3A
  2. Prerequisite: CHEM 3A
  1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
  2. C: Science Laboratory
  1. B1 - Physical Science
  2. B3 - Laboratory Activity
  3. CSU Transfer Course
  1. A: Natural Sciences

CSCI 40
Programming Concepts and Methodology I

4 units
Effective Term: 2022 Fall Semester
Introduction to problem solving, algorithm development, procedural and data abstraction using the C++ language; program design, coding, debugging, testing, and documentation. (A, CSU, UC)
Course Details:
  1. Prerequisite: MATH 103
  2. Corequisite: MATH 4A
  3. Advisory: CSCI 1
    1. CSU Transfer Course
    1. D3 - Anaylitical Thinkning

    ENGR 6
    Circuits with Lab

    4 units
    Effective Term: 2025 Fall Semester
    An introductory course in the analysis of DC and AC linear circuits containing resistors, inductors, capacitors, independent and dependent voltage and current sources, and operational amplifiers. Lecture topics include Ohm’s Law, Kirchhoff’s Laws, node and mesh analysis, Thevenin’s and Norton’s Theorems, superposition, natural and forced response in first and second order circuits, phasor analysis, resonance, AC steady-state power calculations, power transfer, and energy concepts. Lab component includes construction, testing, and analysis of linear electrical circuits. (A, CSU, UC)

    ENGR 12
    Digital Logic Design

    4 units
    Effective Term: 2023 Spring Semester
    Introductory course in the fundamentals of designing digital computer hardware. Course covers: logic gates, binary number system, conversion between number systems, Boolean algebra, Karnaugh maps, combinational logic, digital logic design, flip-flops, programmable logic devices (PLDs), counters, registers, memories, state machines, designing combinational logic and state machines into PLDs, and basic computer architecture. Lab assignments are design oriented. (A, CSU, UC)
    Course Details:
    1. Corequisite: MATH 3A
    2. Corequisite: MATH 4B
      1. CSU Transfer Course

        MATH 7 or MATH 17

        4-5 units
        MATH 7
        Introduction to Differential Equations
        4 units
        Effective Term: 2024 Fall Semester
        This course is an introduction to ordinary differential equations including applications from a variety of disciplines. The course introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, Laplace transforms and linear systems. This course is not intended for students who have taken Math 17. (A, CSU, UC)
        Course Details:
        1. Anti Requisite: MATH 17
        2. Prerequisite: MATH 6
          1. CSU Transfer Course
          1. D2 - Analytical Thinking: Mathematics
          or
          MATH 17
          Differential Equations and Linear Algebra
          5 units
          Effective Term: 2025 Fall Semester
          This is an introductory course in ordinary differential equations and linear algebra. Topics for this course include first-order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Students will also study solutions to higher order differential equations using undetermined coefficients, variation of parameters, power series, with applications; solutions to linear and non-linear systems of differential equations, including numerical solutions; matrix algebra, solutions of linear systems of equations, and determinants; vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure; as well as linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices. (A, CSU, UC, Cal-GETC)
          Course Details:
          1. Prerequisite: MATH 6
          1. A: Mathematic
          1. B4 - Mathematics/Quantitative Thinking
          2. CSU Transfer Course
          1. D2 - Analytical Thinking: Mathematics

          PHYS 4C
          Physics for Scientists and Engineers

          4 units
          Effective Term: 2025 Fall Semester
          Oscillations, waves, thermodynamics, optics, relativity, quantum mechanics, and nuclear physics. Designed primarily for physics, engineering, and related majors. (A, CSU, UC, Cal-GETC)
          Course Details:
          1. Prerequisite: PHYS 4A
          2. Corequisite: MATH 5B
          3. Advisory: MATH 6
          1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
          2. C: Science Laboratory
          1. B1 - Physical Science
          2. B3 - Laboratory Activity
          3. CSU Transfer Course

            Term 2

            11 units

            ENGR 5
            Programming and Problem Solving in MATLAB

            3 units
            Effective Term: 2023 Spring Semester
            Utilizes the MATLAB environment to provide students with a working knowledge of computer-based problem solving methods relevant to science and engineering. Introduces the fundamentals of procedural and object-oriented programming, numerical analysis, and data structures. Examples and assignments in the course are drawn from practical applications in engineering, physics, and mathematics. (A, CSU, UC)
            Course Details:
            1. Prerequisite: MATH 5A
              1. CSU Transfer Course

                MATH 5B
                Mathematical Analysis II

                4 units
                Effective Term: 2025 Fall Semester
                This is a second course in single variable differential and integral calculus that covers advanced applications and techniques of integration, differential equations, and sequences and series. (A, CSU, UC, Cal-GETC)
                Course Details:
                1. Prerequisite: MATH 5A
                1. A: Mathematic
                1. B4 - Mathematics/Quantitative Thinking
                2. CSU Transfer Course
                1. D2 - Analytical Thinking: Mathematics

                PHYS 4A
                Physics for Scientists and Engineers

                4 units
                Effective Term: 2025 Fall Semester
                Classical mechanics: kinematics, Newton's Laws, energy, momentum, gravitation, and fluids. Designed primarily for physics, engineering, and related majors. (A, CSU, UC, Cal-GETC)
                Course Details:
                1. Corequisite: MATH 5B
                1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
                2. C: Science Laboratory
                1. B1 - Physical Science
                2. B3 - Laboratory Activity
                3. CSU Transfer Course
                1. A: Natural Sciences

                Term 3

                11-13 units

                MATH 6
                Mathematical Analysis III

                4 units
                Effective Term: 2025 Fall Semester
                This course includes solid analytical geometry; partial differentiation; integral calculus of multivariable functions; two and three dimensional vectors; vector valued functions; topics in vector calculus including Green’s, Divergence, and Stokes’ Theorems. (A, CSU, UC, Cal-GETC)
                Course Details:
                1. Prerequisite: MATH 5B
                1. A: Mathematic
                1. B4 - Mathematics/Quantitative Thinking
                2. CSU Transfer Course
                1. D2 - Analytical Thinking: Mathematics

                PHYS 4B
                Physics for Scientists and Engineers

                4 units
                Effective Term: 2025 Fall Semester
                Electricity and magnetism: electrostatics, electric potential, DC circuits, magnetic fields, induction, and AC circuits. Designed primarily for physics, engineering, and related majors. (A, CSU, UC, Cal-GETC)
                Course Details:
                1. Prerequisite: PHYS 4A
                2. Corequisite: MATH 5B
                3. Advisory: MATH 6
                1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
                2. C: Science Laboratory
                1. B1 - Physical Science
                2. B3 - Laboratory Activity
                3. CSU Transfer Course

                  Major Course

                  3-5 units

                  Select one of the following: 

                  CHEM 1A
                  General Chemistry I

                  5 units
                  Effective Term: 2025 Fall Semester
                  Development of atomic theory; atoms, isotopes, molecules, and ions; compounds; classification of matter; formulas and equations; stoichiometry; introduction to aqueous reactions: precipitation, acids and bases, and gas forming and redox reactions; gas laws; kinetic molecular theory of gases; thermochemistry; modern atomic theory; VSEPR theory; valence bond (hybridization) and molecular orbital theories; intermolecular forces; properties of liquids; solids and crystal structures; solution behavior; colligative properties; associated laboratory experiments; and volumetric (titrimetric) and gravimetric analysis methods. (A, CSU, UC, Cal-GETC)
                  Course Details:
                  1. Prerequisite: MATH 3A
                  2. Prerequisite: CHEM 3A
                  1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
                  2. C: Science Laboratory
                  1. B1 - Physical Science
                  2. B3 - Laboratory Activity
                  3. CSU Transfer Course
                  1. A: Natural Sciences

                  CSCI 40
                  Programming Concepts and Methodology I

                  4 units
                  Effective Term: 2022 Fall Semester
                  Introduction to problem solving, algorithm development, procedural and data abstraction using the C++ language; program design, coding, debugging, testing, and documentation. (A, CSU, UC)
                  Course Details:
                  1. Prerequisite: MATH 103
                  2. Corequisite: MATH 4A
                  3. Advisory: CSCI 1
                    1. CSU Transfer Course
                    1. D3 - Anaylitical Thinkning

                    ENGR 6
                    Circuits with Lab

                    4 units
                    Effective Term: 2025 Fall Semester
                    An introductory course in the analysis of DC and AC linear circuits containing resistors, inductors, capacitors, independent and dependent voltage and current sources, and operational amplifiers. Lecture topics include Ohm’s Law, Kirchhoff’s Laws, node and mesh analysis, Thevenin’s and Norton’s Theorems, superposition, natural and forced response in first and second order circuits, phasor analysis, resonance, AC steady-state power calculations, power transfer, and energy concepts. Lab component includes construction, testing, and analysis of linear electrical circuits. (A, CSU, UC)

                    ENGR 12
                    Digital Logic Design

                    4 units
                    Effective Term: 2023 Spring Semester
                    Introductory course in the fundamentals of designing digital computer hardware. Course covers: logic gates, binary number system, conversion between number systems, Boolean algebra, Karnaugh maps, combinational logic, digital logic design, flip-flops, programmable logic devices (PLDs), counters, registers, memories, state machines, designing combinational logic and state machines into PLDs, and basic computer architecture. Lab assignments are design oriented. (A, CSU, UC)
                    Course Details:
                    1. Corequisite: MATH 3A
                    2. Corequisite: MATH 4B
                      1. CSU Transfer Course

                        MATH 7 or MATH 17

                        4-5 units
                        MATH 7
                        Introduction to Differential Equations
                        4 units
                        Effective Term: 2024 Fall Semester
                        This course is an introduction to ordinary differential equations including applications from a variety of disciplines. The course introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, Laplace transforms and linear systems. This course is not intended for students who have taken Math 17. (A, CSU, UC)
                        Course Details:
                        1. Anti Requisite: MATH 17
                        2. Prerequisite: MATH 6
                          1. CSU Transfer Course
                          1. D2 - Analytical Thinking: Mathematics
                          or
                          MATH 17
                          Differential Equations and Linear Algebra
                          5 units
                          Effective Term: 2025 Fall Semester
                          This is an introductory course in ordinary differential equations and linear algebra. Topics for this course include first-order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Students will also study solutions to higher order differential equations using undetermined coefficients, variation of parameters, power series, with applications; solutions to linear and non-linear systems of differential equations, including numerical solutions; matrix algebra, solutions of linear systems of equations, and determinants; vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure; as well as linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices. (A, CSU, UC, Cal-GETC)
                          Course Details:
                          1. Prerequisite: MATH 6
                          1. A: Mathematic
                          1. B4 - Mathematics/Quantitative Thinking
                          2. CSU Transfer Course
                          1. D2 - Analytical Thinking: Mathematics

                          PHYS 4C
                          Physics for Scientists and Engineers

                          4 units
                          Effective Term: 2025 Fall Semester
                          Oscillations, waves, thermodynamics, optics, relativity, quantum mechanics, and nuclear physics. Designed primarily for physics, engineering, and related majors. (A, CSU, UC, Cal-GETC)
                          Course Details:
                          1. Prerequisite: PHYS 4A
                          2. Corequisite: MATH 5B
                          3. Advisory: MATH 6
                          1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
                          2. C: Science Laboratory
                          1. B1 - Physical Science
                          2. B3 - Laboratory Activity
                          3. CSU Transfer Course

                            Term 4

                            6-10 units

                            Major Course

                            3-5 units

                            Select one of the following:

                            CHEM 1A
                            General Chemistry I

                            5 units
                            Effective Term: 2025 Fall Semester
                            Development of atomic theory; atoms, isotopes, molecules, and ions; compounds; classification of matter; formulas and equations; stoichiometry; introduction to aqueous reactions: precipitation, acids and bases, and gas forming and redox reactions; gas laws; kinetic molecular theory of gases; thermochemistry; modern atomic theory; VSEPR theory; valence bond (hybridization) and molecular orbital theories; intermolecular forces; properties of liquids; solids and crystal structures; solution behavior; colligative properties; associated laboratory experiments; and volumetric (titrimetric) and gravimetric analysis methods. (A, CSU, UC, Cal-GETC)
                            Course Details:
                            1. Prerequisite: MATH 3A
                            2. Prerequisite: CHEM 3A
                            1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
                            2. C: Science Laboratory
                            1. B1 - Physical Science
                            2. B3 - Laboratory Activity
                            3. CSU Transfer Course
                            1. A: Natural Sciences

                            CSCI 40
                            Programming Concepts and Methodology I

                            4 units
                            Effective Term: 2022 Fall Semester
                            Introduction to problem solving, algorithm development, procedural and data abstraction using the C++ language; program design, coding, debugging, testing, and documentation. (A, CSU, UC)
                            Course Details:
                            1. Prerequisite: MATH 103
                            2. Corequisite: MATH 4A
                            3. Advisory: CSCI 1
                              1. CSU Transfer Course
                              1. D3 - Anaylitical Thinkning

                              ENGR 6
                              Circuits with Lab

                              4 units
                              Effective Term: 2025 Fall Semester
                              An introductory course in the analysis of DC and AC linear circuits containing resistors, inductors, capacitors, independent and dependent voltage and current sources, and operational amplifiers. Lecture topics include Ohm’s Law, Kirchhoff’s Laws, node and mesh analysis, Thevenin’s and Norton’s Theorems, superposition, natural and forced response in first and second order circuits, phasor analysis, resonance, AC steady-state power calculations, power transfer, and energy concepts. Lab component includes construction, testing, and analysis of linear electrical circuits. (A, CSU, UC)

                              ENGR 12
                              Digital Logic Design

                              4 units
                              Effective Term: 2023 Spring Semester
                              Introductory course in the fundamentals of designing digital computer hardware. Course covers: logic gates, binary number system, conversion between number systems, Boolean algebra, Karnaugh maps, combinational logic, digital logic design, flip-flops, programmable logic devices (PLDs), counters, registers, memories, state machines, designing combinational logic and state machines into PLDs, and basic computer architecture. Lab assignments are design oriented. (A, CSU, UC)
                              Course Details:
                              1. Corequisite: MATH 3A
                              2. Corequisite: MATH 4B
                                1. CSU Transfer Course

                                  MATH 7 or MATH 17

                                  4-5 units
                                  MATH 7
                                  Introduction to Differential Equations
                                  4 units
                                  Effective Term: 2024 Fall Semester
                                  This course is an introduction to ordinary differential equations including applications from a variety of disciplines. The course introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, Laplace transforms and linear systems. This course is not intended for students who have taken Math 17. (A, CSU, UC)
                                  Course Details:
                                  1. Anti Requisite: MATH 17
                                  2. Prerequisite: MATH 6
                                    1. CSU Transfer Course
                                    1. D2 - Analytical Thinking: Mathematics
                                    or
                                    MATH 17
                                    Differential Equations and Linear Algebra
                                    5 units
                                    Effective Term: 2025 Fall Semester
                                    This is an introductory course in ordinary differential equations and linear algebra. Topics for this course include first-order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Students will also study solutions to higher order differential equations using undetermined coefficients, variation of parameters, power series, with applications; solutions to linear and non-linear systems of differential equations, including numerical solutions; matrix algebra, solutions of linear systems of equations, and determinants; vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure; as well as linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices. (A, CSU, UC, Cal-GETC)
                                    Course Details:
                                    1. Prerequisite: MATH 6
                                    1. A: Mathematic
                                    1. B4 - Mathematics/Quantitative Thinking
                                    2. CSU Transfer Course
                                    1. D2 - Analytical Thinking: Mathematics

                                    PHYS 4C
                                    Physics for Scientists and Engineers

                                    4 units
                                    Effective Term: 2025 Fall Semester
                                    Oscillations, waves, thermodynamics, optics, relativity, quantum mechanics, and nuclear physics. Designed primarily for physics, engineering, and related majors. (A, CSU, UC, Cal-GETC)
                                    Course Details:
                                    1. Prerequisite: PHYS 4A
                                    2. Corequisite: MATH 5B
                                    3. Advisory: MATH 6
                                    1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
                                    2. C: Science Laboratory
                                    1. B1 - Physical Science
                                    2. B3 - Laboratory Activity
                                    3. CSU Transfer Course

                                      Major Course

                                      3-5 units

                                      Select one of the following:

                                      CHEM 1A
                                      General Chemistry I

                                      5 units
                                      Effective Term: 2025 Fall Semester
                                      Development of atomic theory; atoms, isotopes, molecules, and ions; compounds; classification of matter; formulas and equations; stoichiometry; introduction to aqueous reactions: precipitation, acids and bases, and gas forming and redox reactions; gas laws; kinetic molecular theory of gases; thermochemistry; modern atomic theory; VSEPR theory; valence bond (hybridization) and molecular orbital theories; intermolecular forces; properties of liquids; solids and crystal structures; solution behavior; colligative properties; associated laboratory experiments; and volumetric (titrimetric) and gravimetric analysis methods. (A, CSU, UC, Cal-GETC)
                                      Course Details:
                                      1. Prerequisite: MATH 3A
                                      2. Prerequisite: CHEM 3A
                                      1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
                                      2. C: Science Laboratory
                                      1. B1 - Physical Science
                                      2. B3 - Laboratory Activity
                                      3. CSU Transfer Course
                                      1. A: Natural Sciences

                                      CSCI 40
                                      Programming Concepts and Methodology I

                                      4 units
                                      Effective Term: 2022 Fall Semester
                                      Introduction to problem solving, algorithm development, procedural and data abstraction using the C++ language; program design, coding, debugging, testing, and documentation. (A, CSU, UC)
                                      Course Details:
                                      1. Prerequisite: MATH 103
                                      2. Corequisite: MATH 4A
                                      3. Advisory: CSCI 1
                                        1. CSU Transfer Course
                                        1. D3 - Anaylitical Thinkning

                                        ENGR 6
                                        Circuits with Lab

                                        4 units
                                        Effective Term: 2025 Fall Semester
                                        An introductory course in the analysis of DC and AC linear circuits containing resistors, inductors, capacitors, independent and dependent voltage and current sources, and operational amplifiers. Lecture topics include Ohm’s Law, Kirchhoff’s Laws, node and mesh analysis, Thevenin’s and Norton’s Theorems, superposition, natural and forced response in first and second order circuits, phasor analysis, resonance, AC steady-state power calculations, power transfer, and energy concepts. Lab component includes construction, testing, and analysis of linear electrical circuits. (A, CSU, UC)

                                        ENGR 12
                                        Digital Logic Design

                                        4 units
                                        Effective Term: 2023 Spring Semester
                                        Introductory course in the fundamentals of designing digital computer hardware. Course covers: logic gates, binary number system, conversion between number systems, Boolean algebra, Karnaugh maps, combinational logic, digital logic design, flip-flops, programmable logic devices (PLDs), counters, registers, memories, state machines, designing combinational logic and state machines into PLDs, and basic computer architecture. Lab assignments are design oriented. (A, CSU, UC)
                                        Course Details:
                                        1. Corequisite: MATH 3A
                                        2. Corequisite: MATH 4B
                                          1. CSU Transfer Course

                                            MATH 7 or MATH 17

                                            9 units
                                            MATH 7
                                            Introduction to Differential Equations
                                            4 units
                                            Effective Term: 2024 Fall Semester
                                            This course is an introduction to ordinary differential equations including applications from a variety of disciplines. The course introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, Laplace transforms and linear systems. This course is not intended for students who have taken Math 17. (A, CSU, UC)
                                            Course Details:
                                            1. Anti Requisite: MATH 17
                                            2. Prerequisite: MATH 6
                                              1. CSU Transfer Course
                                              1. D2 - Analytical Thinking: Mathematics
                                              and
                                              MATH 17
                                              Differential Equations and Linear Algebra
                                              5 units
                                              Effective Term: 2025 Fall Semester
                                              This is an introductory course in ordinary differential equations and linear algebra. Topics for this course include first-order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Students will also study solutions to higher order differential equations using undetermined coefficients, variation of parameters, power series, with applications; solutions to linear and non-linear systems of differential equations, including numerical solutions; matrix algebra, solutions of linear systems of equations, and determinants; vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure; as well as linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices. (A, CSU, UC, Cal-GETC)
                                              Course Details:
                                              1. Prerequisite: MATH 6
                                              1. A: Mathematic
                                              1. B4 - Mathematics/Quantitative Thinking
                                              2. CSU Transfer Course
                                              1. D2 - Analytical Thinking: Mathematics

                                              PHYS 4C
                                              Physics for Scientists and Engineers

                                              4 units
                                              Effective Term: 2025 Fall Semester
                                              Oscillations, waves, thermodynamics, optics, relativity, quantum mechanics, and nuclear physics. Designed primarily for physics, engineering, and related majors. (A, CSU, UC, Cal-GETC)
                                              Course Details:
                                              1. Prerequisite: PHYS 4A
                                              2. Corequisite: MATH 5B
                                              3. Advisory: MATH 6
                                              1. A: Physical Science Lab or Physical Science Lab only (non-sequence)
                                              2. C: Science Laboratory
                                              1. B1 - Physical Science
                                              2. B3 - Laboratory Activity
                                              3. CSU Transfer Course
                                                Total: 38-46 units