Lecture Notes

LECTURE NOTES FOR SPRING 2020

Lectures are prepared by following the Lecture Schedule from the Textbook (Calculus: Special Edition: Chapters 1-5, 7th edition, Smith, Strauss, and Toda. Kendall Hunt, 2018). (ISBN: 978-1524971359).

Lecture #1 – Algebra Review

Lecture #2 – 2.1 The Limit of a Function

Lecture #3 – 2.2 Algebraic Computations of Limits

Lecture #4 – 2-3 Continuity

Lecture #5 – 3-1 Introduction to Derivatives

Lecture #6 – 3-2, 3-3 Techniques of Differentiation

Lecture #7 – 3-5 Chain Rule

Lecture #8 – Midterm#1-Review

Lecture #9 – 3-6 Implicit Differentiation

Lecture #10 – 3-7 Related Rates and Applications

• Section 3.7 Supplementary Questions 

Lecture #11 – 3-8 Linearization and Differentials

Lecture #12 – 3-8 Error Propagation – 4.4 Limits Involving Infinity

• Section 4.4 – Supplementary Question

Lecture #13 – 4-5 L’Hopital’s Rule

• Section 4.5 Supplementary Question

Lecture #14 – 4-1 Extreme Values

Lecture #15 – Midterm2-Review 

Lecture #16 – 4.3 Using Derivatives to Sketch the Graph of a Function

• You Try It Questions- Part I

Lecture #17 –

• You Try It Questions – Part2
• Worksheet 4.3
• Worksheet 4.3 Answer Key

Please note the below are static lecture notes, worksheets and “you try it/pooling questions will be added later”

Lecture #18 – 4.6 Optimization in Physical Sciences and Life Sciences / Supplementary Problem

Lecture #19 – 4.7 Optimization in Business and Economics

Word problems practice: (optimization, related rates, linear approximation)

Lecture #23- 5.1 Antiderivatives, Indefinite Integrals

Lecture #24- 5.2, 5.3 Reimann Sums, Definite Integrals

Lecture #25- 5.4. Fundamental Theorem of Calculus

Lecture #26- Midterm#3 Review

Midterm#3 –  Sections 4.1, 4.3, 4.6, 4.7, 5.1, 5.2, 5.3 (Sunday, 4/26 check Canvas announcements)

Lecture #27- 5.5 Integration by Substitution

Lecture #28- FINAL REVIEW

Lecture #29- FINAL REVIEW

FINAL – CUMULATIVE (check Canvas announcements)