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