Topics to be included for the final exam

2.1 Rates of Change and Tangents to Curves 39
2.2 Limit of a Function and Limit Laws 46
2.3 The Precise Definition of a Limit 57
2.4 One-Sided Limits 66
2.5 Continuity 73
2.6 Limits Involving Infinity; Asymptotes of Graphs

3.1 Tangents and the Derivative at a Point 102
3.2 The Derivative as a Function 106
3.3 Differentiation Rules 115
3.4 The Derivative as a Rate of Change 124
3.5 Derivatives of Trigonometric Functions 135
3.6 The Chain Rule 142
3.7 Implicit Differentiation 149

3.8 Related Rates

3.9 Linearization and Differentials

4.1 Extreme Values of Functions

4.2 The Mean Value Theorem

4.3 Monotonic Functions and the First Derivative Test

4.4 Concavity and Curve Sketching

4.5 Applied Optimization

4.7 Antiderivatives

5.1 Area and Estimating with Finite Sums

5.2 Sigma Notation and Limits of Finite Sums

5.3 The Definite Integral

5.4 The Fundamental Theorem of Calculus

5.5 Indefinite Integrals and the Substitution Method

5.6 Substitution and Area Between Curves

6.1 Volumes Using Cross-Sections 308
6.2 Volumes Using Cylindrical Shells 319
6.3 Arc Length 326
6.4 Areas of Surfaces of Revolution

7.1 Inverse Functions and Their Derivatives 361
7.2 Natural Logarithms 369
7.3 Exponential Functions 377
7.5 Indeterminate Forms and VHopitai's Rule

Math 113

Mathematics I

First Exam (Birinci Arasınav)

Tarih: July 2, 2019 (Tuesday)

Saat: 14:00

Exam Place: TBA

Math 113

Mathematics I

Final Exam (Yarıyılsonu Sınavı)

Date: Jul 31 2019 (Wednesday)

Time: 11:00

Exam Place: TBA