MATH 145 Section 002: Honors Calculus I

A grade of C- or higher in MATH 112 and MATH 113 (or MATH 115) or a mathematics placement score in the 440-600 range.

First course in the three part basic calculus sequence for students majoring in mathematics, science, or engineering.  Topics include limits, continuity, differentiation, applications of differentiation, and integration.  Applications of the derivative are covered in detail, including approximations of errors using differentials, maxima and minima problems, curve sketching, optimization problems, and Newton's Method.  Topics on integration include Riemann sums, properties of definite integrals, integration by substitution, and integrals involving logarithmic, exponential, trigonometric, inverse trigonometric, and hyperbolic functions.

1. Students will develop a basic understanding of the concepts of calculus and be able to apply them to real situations.
2. Students will be able to find limits of functions.
3. Students will be able to calculate (and simplify) derivatives involving rational, exponential, trigonometric, inverse trigonometric, and hyperbolic functions.
4. Students will be able to apply derivatives to various applications including optimization problems, linear approximation, and curve sketching.
5. Students will be able to calculate (and simplify) integrals using some basic techniques of integration.
6. Students will be able to use integration to find the area of certain types of planar regions.

1          Functions and Limits*

2          Derivatives (2.7 optional)

3          Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

(3.4 optional, 3.7 omit)

4          Applications of Differentiation

5          Integrals

7          Applications of Integration (7.1 only)

* The material covered on pages 1 – 23 is a brief review of precalculus mathematics.  Students who are not familiar with this review material may need to take MATH 112 and MATH 113 (or MATH 115) before attempting MATH 125.

The online homework and quiz and the 4 tests each counts 10%, a comprehensive final exam (Wednesday 12/14/11, 11:30AM-2PM) counts 40% of the grade. 

The online homework and quiz and the 4 tests each counts 10%, a comprehensive final exam (Wednesday 12/14/11, 11:30AM-2PM) counts 40% of the grade. 

Makeup examinations will be given only in the event of serious illness or other extreme cases, and only if timely notification is given.

TEXT:  Essential Calculus (Early Transcendentals)         AUTHOR:  Stewart

PUBLISHERS:  Brooks/Cole

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