The pathway below represents an efficient and effective course taking sequence for this program. Individual circumstances might require some changes to this pathway. It is always recommended that you meet with an academic counselor to develop a personalized educational plan.
The courses have been intentionally placed and should be prioritized in
the order
in which they appear. If you are unable to take all the courses in
a semester, you
should prioritize enrolling in the courses in the order below.
Some courses have
been noted as “Appropriate for Intersession” . Should you need (or want) to take
classes
in the summer and/or winter intersessions,
the program recommends these courses as appropriate for the condensed
schedule of
the intersessions.
Some pathways combine a “Certificate of Achievement” and an “Associate
Degree”. If
you are pursuing only the Certificate of Achievement, you are only
required to take
the courses marked “Program Requirement” .
All pathways include at least one “Gateway Course” which introduces you to the program and/or field of study and helps you
decide if you want to continue with this Academic and Career Path.
Most Associate degrees (though not Associate Degrees for Transfer)
require satisfying the SMC Global Citizenship requirement. If the Program
Requirements do not include a “Global Citizenship course” , be sure to select a General Education course that also satisfies Global Citizenship.
Engineers apply the theories and principles of science and mathematics to research and develop economical solutions to practical technical problems. Their work is the link between scientific discoveries and commercial applications. Engineers design products, the machinery to build those products, the factories in which those products are made, and the systems that ensure the quality of the product and efficiency of the workforce and manufacturing process. There are a variety of engineering fields: electrical, mechanical, civil, industrial, aeronautical, chemical, materials, nuclear, petroleum and mining engineering.
This program is intended to prepare students for transfer into the study of Mechanical, Civil, and Aerospace Engineering at a UC institution.
Upon completion of the program, students will:
- Lower division major preparation for transfer into Mechanical, Civil, or Aerospace Engineering.
Icon Key
-
Gateway Course
-
Program Requirement
-
General Education
-
Appropriate for Intersession
-
Available Online
-
Global Citizenship
NOTE: This is a general transfer map that outlines courses required by most institutions, including our top 4 transfer destinations in Mechanical, Civil, or Aerospace Engineering. It is highly recommended that you meet with an academic counselor for educational planning, as major requirements vary by institution.
NOTE: This transfer and/or degree program utilizes Cal-GETC as the required General Education pattern. If you started college before Fall 2025, you MAY be able to use either CSU GE or IGETC. You should meet with a counselor to discuss which general education pattern is appropriate for you. Additionally, this map covers ONLY the "Silver 7" of the Cal-GETC requirements.
Semester 1
15 Units
This course is an introduction to the methods and tools of engineering problem solving and design, including the interface of the engineer with society and engineering ethics. While addressing the branches of engineering, the functions of an engineer, and the industries in which engineers work, this course examines the engineering education pathways and explores effective academic strategies. Communication skills pertinent to the engineering profession are also addressed.
An intensive preparation for calculus. This course is intended for computer science, engineering, mathematics and natural science majors. Topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem and mathematical induction.
- Prerequisite: MATH 20 and
- Prerequisite: MATH 32
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
- Area 2: Mathematical Concepts and Quantitative Reasoning
In this course, students receive instruction in academic reading and writing, including writing processes, effective use of language, analytical thinking, and the foundations of academic research.
- Prerequisite: Placement as determined by the college’s multiple measures assessment process
- 1A: English Composition
- A2 - Written Communication
- Area IV-A: Language and Rationality (Group A)
- Area 1A. English Composition
Chemistry 10 is a survey of introductory chemistry topics with a laboratory component. It is intended as preparation for Chemistry major or those planning to go into a STEM major or as a way to fulfill the science general education requirement. It introduces the main concepts and principles of chemistry and serves as a prerequisite for the General Chemistry sequence (CHEM 11 and CHEM 12). Emphasis is placed on understanding basic chemical principles and their quantitative application in various settings. Experimental techniques, including the safe and competent handling of chemicals and laboratory equipment will also be part of the course.
- Prerequisite: MATH 31 or
- Prerequisite: MATH 49
- 5A: Physical Science
- 5C: Physical or Biological Science LABORATORY
- B1 - Physical Science
- B3 - Laboratory Sciences
- Area I: Natural Science
- Area 5: Natural Sciences
Semester 2
16 Units
This first course in calculus is intended primarily for science, technology, engineering and mathematics majors. Topics include limits, continuity, and derivatives and integrals of algebraic and trigonometric functions, with mathematical and physical applications.
- Prerequisite: MATH 2 or
- Prerequisite: MATH 3 and
- Prerequisite: MATH 4
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
- Area 2: Mathematical Concepts and Quantitative Reasoning
This course is the first semester of a two-semester, standard first year college chemistry course (Chemistry 11 and Chemistry 12). It introduces the fields of physical, analytical, inorganic, and organic chemistry. Topics to be discussed include atomic structure, chemical bonding, common types of reactions, stoichiometry, thermochemistry, and the properties of gases, liquids, and solids.
- Prerequisite: CHEM 10 and
- Prerequisite: MATH 20 and
- 5A: Physical Science
- 5C: Physical or Biological Science LABORATORY
- B1 - Physical Science
- B3 - Laboratory Sciences
- Area I: Natural Science
- Area 5: Natural Sciences
In this course, students receive instruction in critical thinking for purposes of constructing, evaluating, and composing arguments in a variety of rhetorical forms, using primarily non-fiction texts, refining writing skills and research strategies developed in ENGL C1000 Academic Reading and Writing (or C-ID ENGL 100) or similar first-year college writing course.
- Prerequisite: ENGL C1000
- Prerequisite: College-level composition (ENGL C1000/ ENGL C1000H/ ENGL C1000E/C-ID ENGL 100) or equivalent
- 1B: Critical Thinking-English Composition
- 3B: Humanities
- A3 - Critical Thinking
- C2 - Humanities
- Area 1B. Oral Communication and Critical Thinking
- Area 3: Arts and Humanities
This is a beginning course intended for students who plan to take additional computer science courses. The course covers an introduction to programming concepts such as designing, coding and testing. Other concepts such as computer hardware, operating systems, compilers and databases are also discussed. The Internet and an introduction to cybersecurity and cloud computing are also included.
Semester 3
15 Units
This second course in calculus is intended primarily for science, technology, engineering, and mathematics majors. Topics include derivatives and integrals of transcendental functions with mathematical and physical applications, indeterminate forms and improper integrals, infinite sequences and series, and curves, including conic sections, described by parametric equations and polar coordinates.
- Prerequisite: MATH 7
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
- Area 2: Mathematical Concepts and Quantitative Reasoning
This course is a continuation of Chem 11. Topics covered include kinetics, equilibrium, acid-base chemistry, precipitation reactions, coordination chemistry, thermodynamics, electrochemistry, and nuclear chemistry.
- Prerequisite: CHEM 11 and
- Prerequisite: MATH 2 or
- Prerequisite: MATH 3 and
- Prerequisite: MATH 4
- 5A: Physical Science
- 5C: Physical or Biological Science LABORATORY
- B1 - Physical Science
- B3 - Laboratory Sciences
- Area I: Natural Science
- Area 5: Natural Sciences
This course serves as a preparation for calculus-based physics. It serves as an introduction to classical mechanics, including concepts and principles pertinent to the mechanics of solids. It also prepares students for handling data and analysis at the level required in Physics 8 and 21.
- Advisory: MATH 2 or
- Advisory: MATH 3 and
- Advisory: MATH 4
This course will include a review of the concepts of structured programming, error checking, sorting, searching, data types, advanced array handling methods, pointers, and data structures. Applications in business, mathematics, and science will be discussed.
- Advisory: CS 3
- Area IV-B: Language and Rationality (Group B) Option 2
- Area 2: Mathematical Concepts and Quantitative Reasoning
Semester 4
16 Units
This course is a calculus-based study of the mechanics of rigid bodies, emphasizing Newton’s laws and its applications. This course includes an introduction to fluids. It is designed for engineering, physical science, and computer science majors.
- Prerequisite: MATH 7
- 5A: Physical Science
- 5C: Physical or Biological Science LABORATORY
- B1 - Physical Science
- B3 - Laboratory Sciences
- Area I: Natural Science
- Area 5: Natural Sciences
Topics include vectors and analytic geometry in two and three dimensions, vector functions with applications, partial derivatives, extrema, Lagrange Multipliers, multiple integrals with applications, vector fields. Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
- Prerequisite: MATH 8
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
- Area 2: Mathematical Concepts and Quantitative Reasoning
This course covers the principles of engineering drawings to visually communicate engineering designs. The course also serves as an introduction to computer-aided design (CAD). Topics include the development of visualization skills, orthographic projections, dimensioning and tolerancing practices, and an introduction to the engineering design process. Sketching, engineering drawings, and 3D CAD solid modeling skills are developed. The use of CAD software is an integral part of the course.
or a Cal-GETC course if ENGR 11 is not needed (see counselor)
- Prerequisite: MATH 2 or
- Prerequisite: MATH 3 and
- Prerequisite: MATH 4
Cal-GETC Area 1C Course 3 units

Semester 5
14 Units
This course is a calculus-based study of electromagnetism covering aspects of electric and magnetic fields, DC and AC circuits, electromagnetic interactions, light, and relativity. The course is intended for engineering and physical science students.
- Prerequisite: PHYSCS 21 and
- Prerequisite: MATH 8
- 5A: Physical Science
- 5C: Physical or Biological Science LABORATORY
- B1 - Physical Science
- B3 - Laboratory Sciences
- Area I: Natural Science
- Area 5: Natural Sciences
This course is an introduction to ordinary differential equations. Topics include first order equations, linear equations, reduction of order, variation of parameters, spring motion and other applications, Cauchy-Euler equations, power series solutions, Laplace transform, and systems of linear differential equations.
- Prerequisite: MATH 8
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
- Area 2: Mathematical Concepts and Quantitative Reasoning
This course is a continuation of C language programming using the C++ superset of C. C++ offers the following enhancements to C: operator and function overloading, information hiding, inheritance, and virtual functions. C++ will be used in the context of both traditional and object-oriented programming.
or ENGR 12 if CS 52 is not needed (see counselor)
- Advisory: CS 50
- Area IV-B: Language and Rationality (Group B) Option 2
- Area 2: Mathematical Concepts and Quantitative Reasoning
Semester 6
14 Units
This course is a calculus-based study of fluids, waves, thermodynamics, and light intended for engineering and physical science students.
- Prerequisite: PHYSCS 21 and
- Prerequisite: MATH 8
- 5A: Physical Science
- 5C: Physical or Biological Science LABORATORY
- B1 - Physical Science
- B3 - Laboratory Sciences
- Area I: Natural Science
- Area 5: Natural Sciences
This course covers basic principles of static equilibrium in two and three dimensions utilizing vector analysis and Newton's laws. Various structures are considered which include trusses, frames, machines, and beams.
or ENGR 16 if needed (NOTE: ENGR 16 is ONLY offered in Spring semester)
- Prerequisite: PHYSCS 21 and
- Prerequisite: MATH 7
Topics include matrices and linear transformations, abstract vector spaces and subspaces, linear independence and bases, determinants, systems of linear equations, eigenvalues and eigenvectors.
- Prerequisite: MATH 8
- 2A: Mathematic
- B4 - Mathematics/Quantitative Thinking
- Area IV-B: Language and Rationality (Group B) Option 1
- Area 2: Mathematical Concepts and Quantitative Reasoning
Cal-GETC Area 4 Course 3 units

-


