12/27/2024 1:04:48 AM	MATH 16 Course Outline as of Fall 1999	Changed Course
CATALOG INFORMATION
Discipline and Nbr:  MATH 16	Title:  INTRO MATH ANALYSIS
Full Title:  Introduction to Mathematical Analysis
Last Reviewed:1/9/2024

Units		Course Hours per Week			Nbr of Weeks	Course Hours Total
Maximum	4.00	Lecture Scheduled	4.00		17.5 max.	Lecture Scheduled	70.00
Minimum	4.00	Lab Scheduled	0		17.5 min.	Lab Scheduled	0
		Contact DHR	0			Contact DHR	0
		Contact Total	4.00			Contact Total	70.00
		Non-contact DHR	0			Non-contact DHR Total	0

Total Out of Class Hours:  140.00

Total Student Learning Hours: 210.00

Title 5 Category:  AA Degree Applicable
Grading:  Grade or P/NP
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

Exponential and logarithmic function, limits, differential and integral calculus in one variable with applications, partial derivatives.  Emphasis on applications in business and economics.

Prerequisites/Corequisites:
MATH 155.

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description:

Exponential and logarithmic functions, limits, differential and integral calculus in one variable with applications, partial derivatives. Emphasis on application in business and economics.

(Grade or P/NP)
Prerequisites:MATH 155.
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP

ARTICULATION, MAJOR, and CERTIFICATION INFORMATION

Associate Degree:		Effective:	Fall 1981	Inactive:
Area:	B MC	Communication and Analytical Thinking Math Competency
CSU GE:	Transfer Area			Effective:	Inactive:
	B4	Math/Quantitative Reasoning		Fall 1981
IGETC:	Transfer Area			Effective:	Inactive:
	2A	Mathematical Concepts & Quantitative Reasoning		Fall 1981
CSU Transfer:	Transferable	Effective:	Fall 1981	Inactive:
UC Transfer:	Transferable	Effective:	Fall 1981	Inactive:
C-ID:
CID Descriptor: MATH 140	Business Calculus	SRJC Equivalent Course(s): MATH16

Certificate/Major Applicable: Not Certificate/Major Applicable

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:

To be successful, students should be able to:

1.  Perform advanced operations with functions (using symbolic,

   graphical, and numerical representations) and apply knowledge to

   modeling problems.

2.  Define and graph inverse functions.

3.  Define and apply characteristics functions in graphing polynomial,

   rational, algebraic, exponential, and logarthmic functions.

4.  Solve equations graphically and algebraically.

5.  Calculate limits and use limit notation.

6.  Define the derivative and calculate derivatives of polynomial,

   rational, algebraic, exponential, and logarithmic functions.

7.  Use techniques of differentiation, including product, quotient and

   chain rules.

8.  Apply derivatives to graphing, optimization, business and economic

   applications.

9.  Calculate antiderivatives.

10. Evaluate definite integrals using the fundamental theorem of

   calculus.

11. Calculate limits and use limit notation with multivariable

   functions.

12. Use partial differentiation and the method of LaGrange multipliers

   in optimization problems.

Topics and Scope

FUNCTIONS

 Symbolic, graphical, and numerical representations, Operations and

 composition, Inverse functions, Modeling.

GRAPHS OF FUNCTIONS

 Definition and characteristics, Graphical solutions and numerical

 solutions of equations, Graphs of polynomial rational, algebraic,

 exponential and logarithmic functions, Graphs of Inverse functions.

DIFFERENTIAL CALCULUS

 Limit of function. Derivatives(including exponential and logarithmic

 functions). Techniques of differentiation, (including product,

 quotient, and chain rules), Applications of the derivatives

 including max/min). Antiderivatives.

INTEGRAL CALCULUS

 The Fundamental Theorem of Calculus, Integration by substitution,

 Tables of integrals, Applications of integration.

MULTIVARIABLE CALCULUS

 Multrivariable functions and limits, Partial differentiation.

 Relative max/min in two variables and Lagrange multipliers.

Assignments:

1.  The student will have daily outside reading, problem set assignments

   from required text(s), or instructor chosen supplementary materials.

2.  Instructional methodology may include, but not limited to: lecture,

   demonstrations, oral recitation, discussion, supervised practice,

   independent study, outside project or other assignments.

Methods of Evaluation/Basis of Grade.

Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.		Writing 0 - 0%
None
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments and skill demonstrations are more appropriate for this course.
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.		Problem Solving 25 - 75%
Homework problems, Exams
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 20 - 40%
Performance exams
Exams: All forms of formal testing, other than skill performance exams.		Exams 5 - 25%
Multiple choice
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 15%
PROJECT - ORAL OR WRITTEN

Representative Textbooks and Materials:

Text(s) required of each student will be selected by the department,

a committee by the department, or the responsible instructor from the

books currently available. Choices in the past have included:

Calculus for the Managerial, Life and Social Sciences, (4th), 1998.

by Tan, Calculus (6th). by Marvin Bittinger, Massachusetts:

Addison-Wesley, 1997.

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