# Resources

# Lecture Notes for Fall 2019

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 – Precalculus I Review**

**Lecture #2 – Precalculus II Review**

**Lecture #3 – 2.1 The Limit of a Function **

**Lecture #4 – 2.2 Algebraic Computations of Limits **

**Lecture #5 – 2.3 Continuity**

**Lecture #6 – 3.1 An Introduction to the Derivative**

**Lecture #7 – 3-2 & 3-3 Techniques of Differentiation**

**Lecture #8 – 3-5 Chain Rule**

**Lecture #9 – 4.1 Extreme Values**

**Lecture #10 – Midterm1 Review**

**Lecture #11 – MIDTERM #1 Solutions (Version1, Version2)**

**Lecture #12 – 3.6 Implicit Differentiation **

**Lecture #13 – 3.7 Related Rates and Applications**

**Lecture #14 – 3-8 Linear Approximation and Differentials**

**Lecture #15 – 4.3 Using Derivatives to Sketch the Graph of a Function**

**Lecture #16 – 4.4 Curve Sketching with Asymptotes / Supplementary Problem **

**Lecture #17 – 4.5 L’Hopital’s Rule / Supplementary Problem **

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

**Lecture #19 – 4.7 Optimization in Business and Economics **

**Lecture #20: Word problems practice: (optimization, related rates, linear approximation)**

**Lecture #21- Midterm #2 Review**

**Lecture #22 – MIDTERM #2 Solutions **

** (Version1 Q1-7 Solutions, Q8-12 Solutions) **

** (Version2 All Questions)**

**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- 5.5 Integration by Substitution**

**Lecture #27- FINAL Review – Day 1 **

**Lecture #28- FINAL Review – Day 2 Graph Analysis Sample Question**

**FINAL **

**Scope**: Cumulative (every section covered in class including Precalculus, Algebra prerequisites)

**Classroom: ARC-103 (Busch) (https://dcs.rutgers.edu/classrooms/allison-road-classroom-room-103)**

**Date/Time : **Mon. 12/16 from 4-7pm