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

Math 113

Calculus for Engineering’

First Exam

Date: 30.10. 2017

Time: 09:00

Places: TBA

2.2 Calculating Limits Using The Limit Laws

2.3 Precise Definition of Limit

2.4 One-Sided Limits and Limits at Infinity

2.5 Infinite Limits and Vertical Asymptotes

2.6 Continuity

2.7 Tangents and Derivatives

3.2 Differentiation Rules

3.3 The Derivative as a Rate of Change

3.4 Derivatives of Trigonometric Functions

3.5 The Chain Rule

3.6 Implicit Differentiation

3.7 Related Rates 

3.8 Linearization and Differentials

4.1 Extreme Values of Functions

4.2 The Mean Value Theorem

4.3 Monotonic Functions and The First Derivative Test