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 civil engineering.
Upon completion of the program, students will:
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. An ability to design systems, components, or processes meeting specified needs for broadly-defined engineering problems appropriate to the discipline.
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. An ability to conduct standard tests, measurements, and experiments and to analyze and interpret the results to improve processes.
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
ENGR10
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)
MATH5A
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:
Prerequisite: MATH 4B
Prerequisite: MATH 4A
Prerequisite: MATH 3A
A: Mathematic
B4 - Mathematics/Quantitative Thinking
CSU Transfer Course
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:
CHEM1A
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:
Prerequisite: MATH 3A
Prerequisite: CHEM 3A
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
A: Natural Sciences
ENGR1A
Elementary Plane Surveying 1
4 units
Effective Term: 2025 Fall Semester Principles and practice of plane surveying: office computations and design; operation of surveying field equipment; and production of engineering plans/maps. Topics include distances, angles, and directions; differential leveling; traversing; property/boundary surveys; topographic surveys/mapping; volume/earthwork; horizontal and vertical curves; land description techniques; and GPS. Extensive field work using tapes, levels, total stations, and GPS/GNSS equipment. (A, CSU, UC)
ENGR2
Graphics
4 units
Effective Term: 2023 Spring Semester Principles of engineering drawings in visually communicating engineering designs and an introduction to computer-aided design (CAD). Topics include the development of visualization and sketching skills, orthographic projections, mechanical dimensioning and tolerancing practices, 2D and 3D CAD skills and the engineering design process. The use of CAD software is an integral part of the course. (A, CSU, UC)
Course Details:
Prerequisite: MATH 4A
CSU Transfer Course
ENGR4
Engineering Materials
3 units
Effective Term: 2023 Spring Semester Properties of engineering materials and their relation to atomic structure. The effect of microstructure on the mechanical, electrical, magnetic and thermal properties. Phase equilibria and strengthening processes for metals, ceramics, and polymers. (A, CSU, UC)
Course Details:
Prerequisite: CHEM 1A
Prerequisite: PHYS 4A
CSU Transfer Course
ENGR8
Statics
3 units
Effective Term: 2023 Spring Semester Rigid bodies in static equilibrium when acted upon by forces and couples in two- and three-dimensional space. Included are the equilibrium of rigid bodies, trusses, frames, and machines, as well as the calculations of the centers of mass, centroids, friction, and moments of inertia. Additional topics which may be covered include distributed forces in cables, beams, and fluid statics; mass moments of inertia; and virtual work. (A, CSU, UC)
Course Details:
Prerequisite: PHYS 4A
Corequisite: MATH 6
CSU Transfer Course
GEOL1
Physical Geology
4 units
Effective Term: 2025 Fall Semester This course consists of an introduction to the principles and unifying concepts of earth science including geologic time, formation and internal structure of the Earth, plate tectonics, rock and mineral identification, weathering processes, landforms, earthquakes, volcanic activity, flooding and groundwater resources. Laboratory exercises will include rock and mineral identification, and interpretation of topographic and geologic maps. Optional field trips to classic geologic locations. (A, CSU, UC, Cal-GETC)
Course Details:
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
A: Natural Sciences
MATH 7 or MATH 17
4-5 units
MATH7
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:
Anti Requisite: MATH 17
Prerequisite: MATH 6
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
or
MATH17
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:
Prerequisite: MATH 6
A: Mathematic
B4 - Mathematics/Quantitative Thinking
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
PHYS4C
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:
Prerequisite: PHYS 4A
Corequisite: MATH 5B
Advisory: MATH 6
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
Term 2
11-13 units
MATH5B
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:
Prerequisite: MATH 5A
A: Mathematic
B4 - Mathematics/Quantitative Thinking
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
PHYS4A
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:
Corequisite: MATH 5B
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
A: Natural Sciences
Major Core
3-5 units
Select one of the following:
CHEM1A
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:
Prerequisite: MATH 3A
Prerequisite: CHEM 3A
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
A: Natural Sciences
ENGR1A
Elementary Plane Surveying 1
4 units
Effective Term: 2025 Fall Semester Principles and practice of plane surveying: office computations and design; operation of surveying field equipment; and production of engineering plans/maps. Topics include distances, angles, and directions; differential leveling; traversing; property/boundary surveys; topographic surveys/mapping; volume/earthwork; horizontal and vertical curves; land description techniques; and GPS. Extensive field work using tapes, levels, total stations, and GPS/GNSS equipment. (A, CSU, UC)
ENGR2
Graphics
4 units
Effective Term: 2023 Spring Semester Principles of engineering drawings in visually communicating engineering designs and an introduction to computer-aided design (CAD). Topics include the development of visualization and sketching skills, orthographic projections, mechanical dimensioning and tolerancing practices, 2D and 3D CAD skills and the engineering design process. The use of CAD software is an integral part of the course. (A, CSU, UC)
Course Details:
Prerequisite: MATH 4A
CSU Transfer Course
ENGR4
Engineering Materials
3 units
Effective Term: 2023 Spring Semester Properties of engineering materials and their relation to atomic structure. The effect of microstructure on the mechanical, electrical, magnetic and thermal properties. Phase equilibria and strengthening processes for metals, ceramics, and polymers. (A, CSU, UC)
Course Details:
Prerequisite: CHEM 1A
Prerequisite: PHYS 4A
CSU Transfer Course
ENGR8
Statics
3 units
Effective Term: 2023 Spring Semester Rigid bodies in static equilibrium when acted upon by forces and couples in two- and three-dimensional space. Included are the equilibrium of rigid bodies, trusses, frames, and machines, as well as the calculations of the centers of mass, centroids, friction, and moments of inertia. Additional topics which may be covered include distributed forces in cables, beams, and fluid statics; mass moments of inertia; and virtual work. (A, CSU, UC)
Course Details:
Prerequisite: PHYS 4A
Corequisite: MATH 6
CSU Transfer Course
GEOL1
Physical Geology
4 units
Effective Term: 2025 Fall Semester This course consists of an introduction to the principles and unifying concepts of earth science including geologic time, formation and internal structure of the Earth, plate tectonics, rock and mineral identification, weathering processes, landforms, earthquakes, volcanic activity, flooding and groundwater resources. Laboratory exercises will include rock and mineral identification, and interpretation of topographic and geologic maps. Optional field trips to classic geologic locations. (A, CSU, UC, Cal-GETC)
Course Details:
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
A: Natural Sciences
MATH 7 or MATH 17
4-5 units
MATH7
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:
Anti Requisite: MATH 17
Prerequisite: MATH 6
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
or
MATH17
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:
Prerequisite: MATH 6
A: Mathematic
B4 - Mathematics/Quantitative Thinking
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
PHYS4C
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:
Prerequisite: PHYS 4A
Corequisite: MATH 5B
Advisory: MATH 6
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
Term 3
11-13 units
MATH6
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:
Prerequisite: MATH 5B
A: Mathematic
B4 - Mathematics/Quantitative Thinking
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
PHYS4B
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:
Prerequisite: PHYS 4A
Corequisite: MATH 5B
Advisory: MATH 6
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
Major Core
3-5 units
Select one of the following:
CHEM1A
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:
Prerequisite: MATH 3A
Prerequisite: CHEM 3A
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
A: Natural Sciences
ENGR1A
Elementary Plane Surveying 1
4 units
Effective Term: 2025 Fall Semester Principles and practice of plane surveying: office computations and design; operation of surveying field equipment; and production of engineering plans/maps. Topics include distances, angles, and directions; differential leveling; traversing; property/boundary surveys; topographic surveys/mapping; volume/earthwork; horizontal and vertical curves; land description techniques; and GPS. Extensive field work using tapes, levels, total stations, and GPS/GNSS equipment. (A, CSU, UC)
ENGR2
Graphics
4 units
Effective Term: 2023 Spring Semester Principles of engineering drawings in visually communicating engineering designs and an introduction to computer-aided design (CAD). Topics include the development of visualization and sketching skills, orthographic projections, mechanical dimensioning and tolerancing practices, 2D and 3D CAD skills and the engineering design process. The use of CAD software is an integral part of the course. (A, CSU, UC)
Course Details:
Prerequisite: MATH 4A
CSU Transfer Course
ENGR4
Engineering Materials
3 units
Effective Term: 2023 Spring Semester Properties of engineering materials and their relation to atomic structure. The effect of microstructure on the mechanical, electrical, magnetic and thermal properties. Phase equilibria and strengthening processes for metals, ceramics, and polymers. (A, CSU, UC)
Course Details:
Prerequisite: CHEM 1A
Prerequisite: PHYS 4A
CSU Transfer Course
ENGR8
Statics
3 units
Effective Term: 2023 Spring Semester Rigid bodies in static equilibrium when acted upon by forces and couples in two- and three-dimensional space. Included are the equilibrium of rigid bodies, trusses, frames, and machines, as well as the calculations of the centers of mass, centroids, friction, and moments of inertia. Additional topics which may be covered include distributed forces in cables, beams, and fluid statics; mass moments of inertia; and virtual work. (A, CSU, UC)
Course Details:
Prerequisite: PHYS 4A
Corequisite: MATH 6
CSU Transfer Course
GEOL1
Physical Geology
4 units
Effective Term: 2025 Fall Semester This course consists of an introduction to the principles and unifying concepts of earth science including geologic time, formation and internal structure of the Earth, plate tectonics, rock and mineral identification, weathering processes, landforms, earthquakes, volcanic activity, flooding and groundwater resources. Laboratory exercises will include rock and mineral identification, and interpretation of topographic and geologic maps. Optional field trips to classic geologic locations. (A, CSU, UC, Cal-GETC)
Course Details:
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
A: Natural Sciences
MATH 7 or MATH 17
4-5 units
MATH7
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:
Anti Requisite: MATH 17
Prerequisite: MATH 6
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
or
MATH17
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:
Prerequisite: MATH 6
A: Mathematic
B4 - Mathematics/Quantitative Thinking
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
PHYS4C
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:
Prerequisite: PHYS 4A
Corequisite: MATH 5B
Advisory: MATH 6
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
Term 4
34-35 units
ENGR5
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:
Prerequisite: MATH 5A
CSU Transfer Course
Major Core
31-32 units
Select one of the following:
CHEM1A
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:
Prerequisite: MATH 3A
Prerequisite: CHEM 3A
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
A: Natural Sciences
ENGR1A
Elementary Plane Surveying 1
4 units
Effective Term: 2025 Fall Semester Principles and practice of plane surveying: office computations and design; operation of surveying field equipment; and production of engineering plans/maps. Topics include distances, angles, and directions; differential leveling; traversing; property/boundary surveys; topographic surveys/mapping; volume/earthwork; horizontal and vertical curves; land description techniques; and GPS. Extensive field work using tapes, levels, total stations, and GPS/GNSS equipment. (A, CSU, UC)
ENGR2
Graphics
4 units
Effective Term: 2023 Spring Semester Principles of engineering drawings in visually communicating engineering designs and an introduction to computer-aided design (CAD). Topics include the development of visualization and sketching skills, orthographic projections, mechanical dimensioning and tolerancing practices, 2D and 3D CAD skills and the engineering design process. The use of CAD software is an integral part of the course. (A, CSU, UC)
Course Details:
Prerequisite: MATH 4A
CSU Transfer Course
ENGR4
Engineering Materials
3 units
Effective Term: 2023 Spring Semester Properties of engineering materials and their relation to atomic structure. The effect of microstructure on the mechanical, electrical, magnetic and thermal properties. Phase equilibria and strengthening processes for metals, ceramics, and polymers. (A, CSU, UC)
Course Details:
Prerequisite: CHEM 1A
Prerequisite: PHYS 4A
CSU Transfer Course
ENGR8
Statics
3 units
Effective Term: 2023 Spring Semester Rigid bodies in static equilibrium when acted upon by forces and couples in two- and three-dimensional space. Included are the equilibrium of rigid bodies, trusses, frames, and machines, as well as the calculations of the centers of mass, centroids, friction, and moments of inertia. Additional topics which may be covered include distributed forces in cables, beams, and fluid statics; mass moments of inertia; and virtual work. (A, CSU, UC)
Course Details:
Prerequisite: PHYS 4A
Corequisite: MATH 6
CSU Transfer Course
GEOL1
Physical Geology
4 units
Effective Term: 2025 Fall Semester This course consists of an introduction to the principles and unifying concepts of earth science including geologic time, formation and internal structure of the Earth, plate tectonics, rock and mineral identification, weathering processes, landforms, earthquakes, volcanic activity, flooding and groundwater resources. Laboratory exercises will include rock and mineral identification, and interpretation of topographic and geologic maps. Optional field trips to classic geologic locations. (A, CSU, UC, Cal-GETC)
Course Details:
A: Physical Science Lab or Physical Science Lab only (non-sequence)
C: Science Laboratory
B1 - Physical Science
B3 - Laboratory Activity
CSU Transfer Course
A: Natural Sciences
MATH 7 or MATH 17
4-5 units
MATH7
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:
Anti Requisite: MATH 17
Prerequisite: MATH 6
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
or
MATH17
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:
Prerequisite: MATH 6
A: Mathematic
B4 - Mathematics/Quantitative Thinking
CSU Transfer Course
D2 - Analytical Thinking: Mathematics
PHYS4C
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:
Prerequisite: PHYS 4A
Corequisite: MATH 5B
Advisory: MATH 6
A: Physical Science Lab or Physical Science Lab only (non-sequence)