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Courses / Calculus III for Engineers (Calc-3)

Calculus III for Engineers (Calc-3)

Welcome to the course portal for Calculus III for Engineers. Under the MPC (Modeling Practices in Calculus) framework, lectures are organized into 75-minute sessions pairing core mathematical theory with engineering application contexts.

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Week 1

Weekly Curriculum & Discussion Map
Review
Exam Review

Course Overview + Prerequisite Review

Updated: 2026-08-23 Open ➔
S02 🚧 Draft
Class Session

Vectors in 2D and 3D

Updated: 2026-08-18 Open ➔
Review 🚧 Draft
Exam Review

Review Integration and derivative

Updated: 2026-08-18 Open ➔

Week 2

Weekly Curriculum & Discussion Map
S03 🚧 Draft
Class Session

Dot and Cross Product

Updated: 2026-08-18 Open ➔
S04 🚧 Draft
Class Session

Lines and Planes in Space

Updated: 2026-08-18 Open ➔
Review 🚧 Draft
Exam Review

Review dot and cross

Updated: 2026-08-18 Open ➔

Week 3

Weekly Curriculum & Discussion Map
SX
Class Session

Session X - No Class

Updated: 2026-08-18 Open ➔
S05 🚧 Draft
Class Session

Vector-Valued Functions and Derivatives

Updated: 2026-08-18 Open ➔
D03 🚧 Draft
Discussion Lab

limit to vector valued

Updated: 2026-08-18 Open ➔

Week 4

Weekly Curriculum & Discussion Map
S06 🚧 Draft
Class Session

Arc Length and Curvature

Updated: 2026-08-18 Open ➔
Review 🚧 Draft
Exam Review

Midterm Review 1

Updated: 2026-08-18 Open ➔
Review 🚧 Draft
Exam Review

Review of curvature /

Updated: 2026-08-18 Open ➔

Week 5

Weekly Curriculum & Discussion Map
S08 🚧 Draft
Class Session

Multivariable Functions

Updated: 2026-08-18 Open ➔
S09 🚧 Draft
Class Session

Partial Derivatives

Updated: 2026-08-18 Open ➔
D05 🚧 Draft
Discussion Lab

Revisit the domain and

Updated: 2026-08-18 Open ➔

Week 6

Weekly Curriculum & Discussion Map
S10 🚧 Draft
Class Session

Tangent Planes and Linear Approximations

Updated: 2026-08-18 Open ➔
S11 🚧 Draft
Class Session

Chain Rule and Higher Derivatives

Updated: 2026-08-18 Open ➔
D06 🚧 Draft
Discussion Lab

Test 1

Updated: 2026-08-18 Open ➔

Week 7

Weekly Curriculum & Discussion Map
S12 🚧 Draft
Class Session

Gradient and Directional Derivatives

Updated: 2026-08-18 Open ➔
S13 🚧 Draft
Class Session

Optimization with Constraints

Updated: 2026-08-18 Open ➔
Review 🚧 Draft
Exam Review

Revisit Gradients / Review

Updated: 2026-08-18 Open ➔

Week 8

Weekly Curriculum & Discussion Map
SX
Class Session

Session X - No Class

Updated: 2026-08-18 Open ➔
S14 🚧 Draft
Class Session

Double Integrals

Updated: 2026-08-18 Open ➔
D08 🚧 Draft
Discussion Lab

Revisit Lagrange multipliers /

Updated: 2026-08-18 Open ➔

Week 9

Weekly Curriculum & Discussion Map
S15 🚧 Draft
Class Session

Double Integrals in Polar Coordinates

Updated: 2026-08-18 Open ➔
S16 🚧 Draft
Class Session

Triple Integrals

Updated: 2026-08-18 Open ➔
D09 🚧 Draft
Discussion Lab

Switch coordinate systems Cartesian

Updated: 2026-08-18 Open ➔

Week 10

Weekly Curriculum & Discussion Map
S17 🚧 Draft
Class Session

Change of Variables in Multiple Integrals

Updated: 2026-08-18 Open ➔
S18 🚧 Draft
Class Session

Applications of Multiple Integrals

Updated: 2026-08-18 Open ➔
SX
Class Session

Session X - No Class

Updated: 2026-08-18 Open ➔

Week 11

Weekly Curriculum & Discussion Map
Review 🚧 Draft
Exam Review

Midterm Review 2

Updated: 2026-08-18 Open ➔
S20 🚧 Draft
Class Session

Vector Fields

Updated: 2026-08-18 Open ➔
D10 🚧 Draft
Discussion Lab

Topic

Updated: 2026-08-18 Open ➔

Week 12

Weekly Curriculum & Discussion Map
SX
Class Session

Session X - No Class

Updated: 2026-08-18 Open ➔
SX
Class Session

Session X - No Class

Updated: 2026-08-18 Open ➔
D11 🚧 Draft
Discussion Lab

Switching coordinates with triple

Updated: 2026-08-18 Open ➔

Week 13

Weekly Curriculum & Discussion Map
S21 🚧 Draft
Class Session

Line Integrals

Updated: 2026-08-18 Open ➔
S22 🚧 Draft
Class Session

Green’s Theorem, Curl & Divergence

Updated: 2026-08-18 Open ➔
D12 🚧 Draft
Discussion Lab

Test 2

Updated: 2026-08-18 Open ➔

Week 14

Weekly Curriculum & Discussion Map
S23 🚧 Draft
Class Session

Curl, Divergence, and Physical Systems

Updated: 2026-08-18 Open ➔
S24 🚧 Draft
Class Session

Surface Integrals

Updated: 2026-08-18 Open ➔
SX
Class Session

Session X - No Class

Updated: 2026-08-18 Open ➔

Week 15

Weekly Curriculum & Discussion Map
Review 🚧 Draft
Exam Review

Final Exam Review

Updated: 2026-08-23 Open ➔
Review 🚧 Draft
Exam Review

Final Exam Review

Updated: 2026-08-23 Open ➔
D13 🚧 Draft
Discussion Lab

Set up line integrals

Updated: 2026-08-18 Open ➔

Week 16

Weekly Curriculum & Discussion Map
CALC-3-SES 🚧 Draft
Class Session

Final Exam

Updated: 2026-08-23 Open ➔