Math 155

Calculus for Engineering I’

Final Exam

 Date: 08.08.2008

 Time: 09: 00

PLACE:  B-417/418

8.1 Basic Integration Formulas

8.2 Integration by Parts

8.3 Integration of Rational Functions by Partial Fractions

8.5 Trigonometric Substitutions

8.8 Improper Integrals

11.1 Sequences

Math 155

Calculus for Engineering I’

Second Midterm

 Date: 04.08.2008

 Time: 13.40

PLACE: B-417/418

5.1 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 Rule

5.6 Substitution and Area Between Curves

6.1 Volumes by Slicing and Rotation About an Axis

6.2 Volumes by Cylindrical Shells

7.1 Inverse Functions and Their Derivatives

7.2 Natural Logarithm

7.3 The Exponential Function

7.4 a^x and log_a(x)

7.6 Relative Rates of Growth

7.7 Inverse Trigonometric Functions

Math 155

Summer 2008

Midterm 1

Date: 14.07.2008 (monday)

Time: 13.40

PLACE: B-417/418

2.2 Calculating Limits Using The Limit Laws

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

3.8 Linearization and Differentials

4.1 Extreme Values of Functions

4.2 The Mean Value Theorem

4.3 Monotonic Functions and The First Derivative Test

4.4 Concavity and Curve Sketching

4.5 Applied Optimization Problems