ASU MAT 267: Calculus for Engineers III
MAT 267 closes ASU's engineering calculus sequence with multivariable calculus: vectors and 3D geometry, partial derivatives, multiple integrals, and an introduction to vector calculus. It's the math foundation for statics, dynamics, electromagnetics, and most of the engineering core that follows.
Fennie is independent and not affiliated with Arizona State University. This is an unofficial study guide.
What makes it hard
The third dimension is the difficulty: visualizing surfaces and regions well enough to set up double and triple integrals with correct limits is a genuinely new skill, and most lost exam points are setup errors, not integration errors. The pace stays compressed, and the vector-calculus material at the end assumes everything before it is still fluent.
What you'll cover
- • Vectors and 3D coordinate geometry
- • Partial derivatives and gradients
- • Multivariable optimization
- • Double and triple integrals
- • Cylindrical and spherical coordinates
- • Vector fields and line integrals
The MAT 267 study guide
How to study for ASU MAT 267, step by step.
- 1
Sketch regions before integrating anything
Most MAT 267 exam losses are limits-of-integration errors, and the cure is drawing. Sketch every region or solid, label the bounds, and only then write the integral. Make this sequence non-negotiable.
- 2
Practice changing coordinate systems deliberately
Knowing when cylindrical or spherical coordinates simplify a triple integral is a recognition skill. Work problems where you choose the system, and note what features of the region drove the choice.
- 3
Keep gradient intuition attached to the algebra
Be able to say what a partial derivative or gradient means physically, not just compute it. The conceptual questions, and the engineering courses downstream, test the meaning.
- 4
Refresh single-variable integration weekly
Triple integrals are three single integrals in a trench coat: weak MAT 266 technique resurfaces immediately. A short weekly refresher keeps it from costing setup-perfect problems.
- 5
Work setup-only drills before exams
Set up ten integrals without evaluating them: region sketch, coordinate choice, limits, integrand. It isolates the skill exams actually grade and triples your practice volume per hour.
Today
Today's MAT 267 plan
What a Fennie Daily Plan looks like for MAT 267. Yours is built from your own syllabus and adapts every day to your deadlines and progress.
First plan free, no card required. Fennie is independent and unaffiliated with your school.
FAQ
Is MAT 267 at ASU hard?
It's hard in a new way: the calculus operations are familiar, but visualizing 3D regions and setting up correct limits of integration is a fresh skill. Students who sketch every region religiously do well; students who jump straight to integrating don't.
What does MAT 267 cover?
Multivariable calculus for engineers: vectors and 3D geometry, partial derivatives and gradients, optimization, double and triple integrals in multiple coordinate systems, and an introduction to vector fields and line integrals.
Do I need MAT 266 fresh for MAT 267?
Yes, multiple integrals lean directly on single-variable technique, and weak integration resurfaces immediately. If there's a gap between courses, spend a week rehabbing substitution and parts before the term starts.
More ASU courses
MAT 117: College Algebra
MAT 117 is ASU's college algebra course covering functions, linear and quadratic equations, polynomials, exponentials, and logarithms, and it's a prerequisite gate for brief calculus, statistics, and many majors. It's taught through the ALEKS adaptive learning system, which most students first meet during math placement.
MAT 210: Brief Calculus
MAT 210 is ASU's applied calculus course for business and non-engineering majors, covering derivatives, optimization, and basic integration with business applications, minus the trigonometry of the full calculus sequence. W. P. Carey business majors take it in huge numbers.
MAT 243: Discrete Mathematical Structures
MAT 243 covers logic, proof techniques, set theory, functions and relations, induction, and combinatorics, the mathematical foundation for computer science. It's required for ASU CS majors and is most students' first encounter with writing proofs.
MAT 142: College Mathematics
MAT 142 is ASU's terminal math course for majors that don't require algebra-track courses like MAT 117, covering applied topics including probability, statistics, personal finance, and geometry. Like ASU's other intro math courses it runs through the ALEKS adaptive system, on campus and in 7.5-week online sessions.