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

Three years of high school mathematics which includes two years of algebra & placement by the matriculation assessment process; or Math 12 with a grade of "C" or better

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”.)

Not open to students with a grade of "C" or better in Math 30 or equivalent

9b. Catalog Description:

Review of functions, limits, differentiation and integration of algebraic functions, calculus for exponential and logarithmic functions, applications of calculus in social and life sciences. This course is not intended for students majoring in mathematics, engineering, physics, or chemistry. (CAN MATH 30) (With Math. 16B, CAN MATH SEQ D)

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.)

For all outcomes the student will work with algebraic, exponential and logarithmic functions.
1. Analyze functions and be able to graph (with and without technology), interpret graphs, find inverses and solve application problems.
2. Calculate the limits of a function including the limit at a point and the limit at infinity. Determine when limit exists and how limits relate to continuity of a function over an interval.
3. Calculate the derivative of a function from the definition, using rules for differentiation, and implicit differentiation.
4. Interpret the meaning of the derivative as it relates to the slope of the tangent line to a graph, the average or instantaneous rate of change, and intervals on which a function is increasing or decreasing.
5. Interpret the results of the first and second derivative test and use to find relative extrema on open and closed intervals.
6. Identify relative extrema, points of inflection, concavity, critical points, horizontal and vertical asymptotes, points of non-differentiability and use to sketch graphs of functions.
7. Analyze the differentials of a function and how it relates to approximate rates of change and real life problems.
8. Solve the "real life" situations using calculus. These should include (but not be limited to) the average and instantaneous rates of change; velocity and acceleration; related rates problems; optimization problems; and logistics growth problems.
9. Calculate the antiderivatives of basic algebraic functions.

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. Review of Functions and Graphs
A) Rectangular Coordinate System
B) Graphs of Equations
C) Linear Functions
D) Quadratic Functions
E) Composite Functions
F) Inverse Functions
II. Limits
A) Limit of a Function
B) Properties of Limits
C) Evaluating Limits
D) One-sided Limits
E) Existence of a Limit
III. Continuity
A) Definition of Continuity
B) Determining Continuity of a Function
C) Continuity on a Closed Interval
D) Discontinuity
IV. Differentiation
A) Tangent Line to a Graph
B) Definition of the Derivative
C) Differentiability and Continuity
D) Rules for Differentiation
1. The constant rule
2. The constant multiple rule
3. The sum and difference rules
4. The power rule
5. The product and quotient rules
6. The chain rule
E) Rates of Change
F) Higher-Order Derivatives
G) Implicit Differentiation
H) Related Rates
V. Applications of the Derivative
A) Increasing and Decreasing Functions and Intervals
B) Relative and Absolute Extrema
C) Concavity and Points of Inflection
D) Curve Sketching
E) Optimization Problems
F) Differentials
G) Partial Fractions
VI. Calculus of Exponential and Logarithmic Functions
A) Review of Exponential and Logarithmic Functions
B) Derivatives of Exponential and Logarithmic Functions
C) Exponential Growth and Decay
D) Applications involving Exponential and Logarithmic Functions
VII. Integration
A) Antiderivatives
B) Indefinite Integrals
C) Integration Rules

12. Typical Assignments: (List types of assignments, including library assignments.)

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

1. Read the textbook chapter on logarithmic functions and solve problems based on reading.
2. Read supplementary handouts on topics such as modeling population growth using exponential functions.

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

1. Compute the slope of a tangent line to a circle at a specified point.
2. Determine relative extrema of functions using first derivative test.

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

SECTION D

SECTION E

SECTION F

SECTION G