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Courses / Calculus I for Engineers (Calc-1)

Calculus I for Engineers (Calc-1)

Welcome to the course portal for Calculus I 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.

📄 View Full Syllabus 📋 Syllabus at a Glance

Week 1

Weekly Curriculum & Discussion Map
S01
Class Session

Using Functions to Understand and Predict Systems

Updated: 2026-08-18 Open ➔
S02
Class Session

Introduction to Limits

Updated: 2026-08-25 Open ➔
D01
Discussion Lab

Calc-1 Discussion 01

Updated: 2026-08-18 Open ➔

Week 2

Weekly Curriculum & Discussion Map
S03
Class Session

Computing Limits with Algebraic Techniques

Updated: 2026-08-30 Open ➔
S04
Class Session

Infinite Limits and Limits at Infinity

Updated: 2026-08-30 Open ➔
D02
Discussion Lab

Calc-1 Discussion 02

Updated: 2026-09-11 Open ➔

Week 3

Weekly Curriculum & Discussion Map
SX
Class Session

Session X - No Class

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

Special Limits and Continuity

Updated: 2026-08-30 Open ➔
D03
Discussion Lab

Calc-1 Discussion 03

Updated: 2026-09-11 Open ➔

Week 4

Weekly Curriculum & Discussion Map
S06
Class Session

Rates of Change and the Definition of the Derivative

Updated: 2026-08-30 Open ➔
S07
Class Session

Differentiation Rules: Basics, Powers, Products and Quotients

Updated: 2026-08-30 Open ➔
D04
Discussion Lab

Calc-1 Discussion 04

Updated: 2026-09-15 Open ➔

Week 5

Weekly Curriculum & Discussion Map
S08
Class Session

Chain Rule and Derivatives of Exponential, Logarithmic, and Inverse Trig Functions

Updated: 2026-09-11 Open ➔
S09
Class Session

Implicit Differentiation and Logarithmic Differentiation

Updated: 2026-09-12 Open ➔
D05
Discussion Lab

Calc-1 Discussion 05

Updated: 2026-09-15 Open ➔

Week 6

Weekly Curriculum & Discussion Map
Review
Exam Review

Midterm Exam 1 Review

Updated: 2026-09-12 Open ➔
S11
Class Session

Related Rates

Updated: 2026-09-12 Open ➔
D06
Discussion Lab

Calc-1 Discussion 06

Updated: 2026-09-30 Open ➔

Week 7

Weekly Curriculum & Discussion Map
S12
Class Session

L’Hopital’s Rule and Indeterminate Forms

Updated: 2026-09-25 Open ➔
S13
Class Session

Critical Points and Extrema

Updated: 2026-09-25 Open ➔
D07 🚧 Draft
Discussion Lab

Test 1

Updated: 2026-08-18 Open ➔

Week 8

Weekly Curriculum & Discussion Map
SX
Class Session

Session X - No Class

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

Optimizing Areas and Volumes

Updated: 2026-10-01 Open ➔
D08 🚧 Draft
Discussion Lab

Revisit max and min

Updated: 2026-08-18 Open ➔

Week 9

Weekly Curriculum & Discussion Map
S15
Class Session

Optimizing Distance and Time

Updated: 2026-10-01 Open ➔
S16
Class Session

Curve Sketching

Updated: 2026-10-01 Open ➔
D09 🚧 Draft
Discussion Lab

Revisit on making functions

Updated: 2026-08-18 Open ➔

Week 10

Weekly Curriculum & Discussion Map
S17 🚧 Draft
Class Session

Numerical Methods

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

Vectors in 2D and 3D

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

Session X - No Class

Updated: 2026-08-18 Open ➔

Week 11

Weekly Curriculum & Discussion Map
S19 🚧 Draft
Class Session

Vector Operations and Engineering Applications

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

Midterm Exam 2 Review

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

Difference between dot and

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 ➔
Review 🚧 Draft
Exam Review

Review from topics

Updated: 2026-08-18 Open ➔

Week 13

Weekly Curriculum & Discussion Map
S21 🚧 Draft
Class Session

Antiderivatives and the Indefinite Integral

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

The Substitution Rule for Integrals

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

Definite Integrals and the Fundamental Theorem of Calculus

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

The Limit Definition of 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: 2026-08-18 Open ➔
Review 🚧 Draft
Exam Review

Final Exam Review

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

Review from topics

Updated: 2026-08-18 Open ➔

Week 16

Weekly Curriculum & Discussion Map
CALC-1-SES 🚧 Draft
Class Session

Final Exam

Updated: 2026-08-18 Open ➔