7a. Prerequisite(s): (Course and/or other preparation/experience that is REQUIRED to be completed previous to enrollment in this course.)

Two years of high school algebra or Math. A and Math. D or equivalent with grades of "C" or better, or placement by matriculation assessment process

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)

Completion of Math. 12 or Math. 29 recommended

9b. Catalog Description:

Introduction to differential and integral calculus, with particular emphasis on applications in the fields of business, economics, and social sciences. Includes: concepts of a function, limits, derivatives, integrals of polynomial, exponential and logarithmic functions, optimization problems, and calculus of functions of more than one variable. Not open to those with credit for Math. 30. (CAN MATH 34)

10. Student Performance Outcomes: (Outcomes for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Outcomes must be related to items listed in Section 11.)

Using classroom discussions, exams, quizzes, and homework assignments,
the student will:
1. solve problems involving limits;
2. construct functions from real world information;
3. calculate derivatives of polynomial functions;
4. calculate derivatives using the product, quotient, and chain
rules;
5. use the derivatives to analyze real world functions;
6. analyze marginal cost, marginal revenue, and marginal profit of
business;
7. describe the results of derivative problems in context;
8. solve optimization problems;
9. use the properties of logarithms to solve equations involving
exponential functions;
10. solve problems involving exponential growth and decay;
11. construct logistic and learning curve functions;
12. solve problems involving logistic and learning curves;
13. solve antiderivative problems;
14. determine the area under a curve using a definite integral;
15. solve integration problems using substitution;
16. solve integration problems using integration by parts (optional);
17. determine the consumers and producers surplus;
18. solve basic differential equations;
19. calculate partial derivatives of functions of two variables;
20. solve optimization problems involving functions of two variables;
and
21. solve problems using the method of Lagrange multipliers.

11. Course Content Outline: (Provides a comprehensive, sequential outline of the course content, including all major subject matter and the specific body of knowledge covered.)

I. Functions and Limits
A. Functions
B. Finding Formulas for Functions
C. Linear and Quadratic Functions
D. Limits
II. Differentiation
A. Slopes of Tangents
B. The Derivative
C. Rules for Computing Derivatives
D. Marginal Cost, Revenue and Profit
E. Optimization
III. Applications of Differentiation
A. Rates of Change
B. Curve Sketching
C. Rational Functions
D. Percentage Rate of Change
IV. Exponential and Logarithmic Functions
A. Compound Interest
B. Exponential Functions
C. Logarithmic Functions
D. Derivatives of Exponential and Logarithmic Functions
E. Models of Growth
V. Integration
A. Antidifferentiation
B. The Definite Integral
C. Area
D. Integration using Substitution
E. Integration by Parts (optional)
VI. Applications of Integration
A. Consumer and Producer''s Surplus
B. Differential Equations for Exponential Change
C. Differential Equations for Bounded Change
VII. Differentiation of Functions of More than One Variable
A. Functions of More Than One Variable
B. Partial Derivatives
C. Optimization
D. Constrained Optimization
E. Lagrange Multiplies

12. Typical Assignments: (Credit courses require two hours of independent work outside of class per unit of credit for each lecture hour. List types of assignments, including library assignments.)

a. Reading Assignments: (Submit at least 2 examples)

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)

c. Other (Terms projects, research papers, portfolios, etc.)

SECTION D

SECTION E

SECTION F

SECTION G