ST. LOUIS COMMUNITY COLLEGE AT FLORISSANT VALLEY

COURSE OF STUDY

MTH: 154

DEPARTMENT: Mathematics DATE: Summer 2006

COURSE TITLE: Technical Analytic Geometry & Calculus

CREDIT HOURS: 4 LECTURE HOURS PER WEEK: 4 LAB HOURS PER WEEK: 0

During the first week of the semester, it is the responsibility of each instructor to furnish, in writing, the course objectives and a course syllabus. The objectives are stated below. The syllabus should include expected outcomes, requirements, the method of evaluation, ground rules for class participation, grading policy, and an Americans with Disabilities Act (ADA) accommodations statement.

COURSE DESCRIPTION:

This course is designed primarily for engineering technology students. Among the topics included are plane analytic geometry, limits, derivatives, integration, and applications.

COURSE PREREQUISITE:

MTH: 144 with a grade of “C” or better.

TEXT:

Basic Technical Mathematics with Calculus, Eighth Edition, Allyn J. Washington; The Benjamin & Cummings Publishing Company; 2005.

COURSE OBJECTIVES:

1. The student will be able to solve problems in plane analytic geometry in the rectangular and polar coordinate systems.

2. The student will learn the concepts of limit, slope, and derivative.

3. The student will be able to differentiate algebraic and transcendental functions.

4. The student will learn the concepts and techniques of integration.

5. The student will learn selected applications of analytic geometry, differentiation, and integration.

MTH:154 Course of Study

Page 2

COURSE OUTLINE:

Suggested Time Allotment

Topics (Number of Weeks)

Chapter 21: Plane Analytic Geometry 2.5
a) Rectangular Coordinate System

b) Conic Sections

c) Polar Coordinate System

Chapter 23: The Derivative (section 22.8 is optional) 2.5
a) Limit, Slope, and Derivative Concepts

b) Derivative of Polynomials

c) Derivative of Products, Quotients, and a Power of a Function

Chapter 24 Applications of the Derivative (section 24.2 is optional) 2.0
a) Tangents, Normals, Curvilinear Motion

b) Curve Sketching

c) Maximum and Minimum

Chapter 27: Differentiation of Transcendental Functions 2.0
(section 27.2 is optional)
a) Derivatives of the Trigonometric Functions

b) Derivatives of the Inverse Trigonometric Functions

c) Derivatives of the Logarithmic and Exponential Functions

d) Applications

Chapter 25: Integration 2.0
a) Differentials

b) Inverse Differentiation and Indefinite Integral

c) Area

d) Definite Integral and Numerical Integration

Chapter 26: Applications of Integration (section 27.2 is optional) 2.0
a) Indefinite Integral

b) Volume and Centroids

Chapter 28: Method of Integrations 1.0
(sections 28.5, 28.6, 28.8-28.10 are optional)
a) Substitution

b) Integration by parts

c) Use of Tables

Review and Exams 2.0