# 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**

**Lecture #11 – 3-8 Linearization and Differentials**

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

**Lecture #13 – 4-5 L’Hopital’s Rule**

**Lecture #14 – 4-1 Extreme Values**

**Lecture #15 – Midterm2-Review **

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

**Lecture #17 – **

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)**