MAT 125

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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

TITLE OF COURSE:

Survey of Calculus

PREFIX/NUMBER:

MAT 125

CREDIT HOURS:

4

2.

PREREQUISITE:

Successful completion of MAT 121 with a C or better or ACCUPLACER Math Test score of 63 - 102 (CLM)

3.

RESOURCES NEEDED:

TEXT:

Calculus and Its Applications, 10/e, by Bittinger and Ellenbogen

SUPPLIES:

MyLabsPlus Student Access Kit (packaged with new textbook or may be purchased online), paper, pencil, scientific calculator

4.

COURSE DESCRIPTION:

Includes derivatives, integrals, and their applications, with attention restricted to algebraic, exponential, and logarithmic functions for business, life science and/or social science majors.

5.

COURSE OBJECTIVES :

A.      Solve selected problems involving algebraic expressions

B.      Solve and graph linear and non-linear algebraic equations and inequalities

C.      Compare the difference between relationships and functions, and be able to work with function notation.

D.     Find limits and determine continuity at a point for a variety of algebraic functions.

E.      Use the appropriate algorithms (including product, chain, and quotient rules) to find the derivatives of algebraic functions.

F.       Find the derivatives of implicitly defined algebraic functions.

G.     Use derivatives to find equations of tangent lines, determine rates of change, and solve applied problems as selected by the instructor.

H.     Use the first and second derivatives of algebraic functions to find extreme, points of inflection, sketch graphs, and solve applied algebraic problems as selected by the instructor.

I.        State and use the properties of exponential and logarithmic functions and solve applied problems as selected by the instructor.

J.        Use the appropriate algorithms to find derivatives of exponential and logarithmic functions.

K.      Find definite and indefinite integrals of algebraic, exponential and logarithmic functions.

L.       Use definite integrals to evaluate under curves and other applied problems.

M.   State and use the Fundamental Theorem of Calculus to evaluate integrals.

N.     Use differential equations to solve applied problems as selected by the instructor.

O.     Integrate algebraic, exponential, and logarithmic functions using various techniques (such as substitution and integration by parts).

P.      Evaluate various improper integrals as selected by the instructor.

Q.     Read, analyze and apply written material to new situations.

R.      Write and speak clearly and logically in presentations and essays.

S.       Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information.

6.

EVALUATION PROCEDURES:

The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout.

Grading Scale:
The following Grading Scale will be used:

90% – 100% - S/A
80% – 89% - S/B
70% – 79% - S/C
60% - 69% - U/D
0% - 59% - U/F

7.

COURSE OUTLINE:

Textbook Chapters R – 5

R. Functions, Graphs, and Models

R.1 Graphs and Equations

R.2 Functions and Models

R.3 Finding Domain and Range

R.4 Slope and Linear Functions

R.5 Nonlinear Functions and Models

R.6 Mathematical Modeling and Curve Fitting

1. Differentiation

1.1 Limits: A Numerical and Graphical Approach

1.2 Algebraic Limits and Continuity

1.3 Average Rates of Change

1.4 Differentiation Using Limits of Difference Quotients

1.5 Differentiation Techniques: The Power and Sum-Difference Rules

1.6 Differentiation Techniques: The Product and Quotient Rules

1.7 The Chain Rule

1.8 Higher-Order Derivatives

2. Applications of Differentiation

2.1 Using First Derivative to Find Maximum and Minimum Values and Sketch Graphs

2.2 Using Second Derivatives to Find the Maximum and Minimum Values and Sketch Graphs

2.3 Graph Sketching: Asymptotes and Rational Functions

2.4 Using Derivatives to Find Absolute Maximum and Minimum Values

2.5 Maximum-Minimum Problems: Business and Economics Applications

2.6 Marginals and Differentials

2.7   Implicit Differentiation and Related Rates

3. Exponential and Logarithmic Functions

3.1 Exponential Functions

3.2 Logarithmic Functions

3.3 Applications: Uninhibited and Limited Growth Models

3.4 Applications: Decay

3.5 The Derivatives of a^x and log_a x

3.6 An Economics Application: Elasticity of Demand

4. Integration

4.1 Antidifferentiation

4.2 Antiderivativesas Areas

4.3 Area and Definite Integrals

4.4 Properties of Definite Integrals

4.5 Integration Techniques: Substitution

4.6 Integration Techniques: Integration by Parts

4.7 Integration Techniques: Tables

5. Applications of Integration

5.1 An Economics Application: Consumer Surplus and Product Surplus

5.2 Applications of Integrating Growth and Decay Probkems

5.3 Improper Integrals

5.4 Probability

5.5 Probability: Expected Value; The Normal Distribution

5.6 Volume

5.7 Differential Equations

8.

METHODS OF INSTRUCTION:

To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities.

Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus.

Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately.

The instructor may assign point values to such activities.

9.

ACADEMIC INTEGRITY:

The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.

10.

DISABILITY STATEMENT:

Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.

11.

SPECIAL REMARKS:

Homework: Homework will be assigned and evaluated as determined by the instructor.

Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made.

Special Note for Online Section (01W): You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP.

Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class.

Use of Electronics in the Classroom: Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.

1.	TITLE OF COURSE:		Survey of Calculus
	PREFIX/NUMBER:		MAT 125	CREDIT HOURS:	4
2.	PREREQUISITE:		Successful completion of MAT 121 with a C or better or ACCUPLACER Math Test score of 63 - 102 (CLM)
3.	RESOURCES NEEDED:
	TEXT:		Calculus and Its Applications, 10/e, by Bittinger and Ellenbogen
	SUPPLIES:		MyLabsPlus Student Access Kit (packaged with new textbook or may be purchased online), paper, pencil, scientific calculator
4.	COURSE DESCRIPTION:		Includes derivatives, integrals, and their applications, with attention restricted to algebraic, exponential, and logarithmic functions for business, life science and/or social science majors.
5.	COURSE OBJECTIVES :		A. Solve selected problems involving algebraic expressions B. Solve and graph linear and non-linear algebraic equations and inequalities C. Compare the difference between relationships and functions, and be able to work with function notation. D. Find limits and determine continuity at a point for a variety of algebraic functions. E. Use the appropriate algorithms (including product, chain, and quotient rules) to find the derivatives of algebraic functions. F. Find the derivatives of implicitly defined algebraic functions. G. Use derivatives to find equations of tangent lines, determine rates of change, and solve applied problems as selected by the instructor. H. Use the first and second derivatives of algebraic functions to find extreme, points of inflection, sketch graphs, and solve applied algebraic problems as selected by the instructor. I. State and use the properties of exponential and logarithmic functions and solve applied problems as selected by the instructor. J. Use the appropriate algorithms to find derivatives of exponential and logarithmic functions. K. Find definite and indefinite integrals of algebraic, exponential and logarithmic functions. L. Use definite integrals to evaluate under curves and other applied problems. M. State and use the Fundamental Theorem of Calculus to evaluate integrals. N. Use differential equations to solve applied problems as selected by the instructor. O. Integrate algebraic, exponential, and logarithmic functions using various techniques (such as substitution and integration by parts). P. Evaluate various improper integrals as selected by the instructor. Q. Read, analyze and apply written material to new situations. R. Write and speak clearly and logically in presentations and essays. S. Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information.
6.	EVALUATION PROCEDURES:		The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout. Grading Scale: The following Grading Scale will be used: 90% – 100% - S/A 80% – 89% - S/B 70% – 79% - S/C 60% - 69% - U/D 0% - 59% - U/F
7.	COURSE OUTLINE:		Textbook Chapters R – 5 R. Functions, Graphs, and Models R.1 Graphs and Equations R.2 Functions and Models R.3 Finding Domain and Range R.4 Slope and Linear Functions R.5 Nonlinear Functions and Models R.6 Mathematical Modeling and Curve Fitting 1. Differentiation 1.1 Limits: A Numerical and Graphical Approach 1.2 Algebraic Limits and Continuity 1.3 Average Rates of Change 1.4 Differentiation Using Limits of Difference Quotients 1.5 Differentiation Techniques: The Power and Sum-Difference Rules 1.6 Differentiation Techniques: The Product and Quotient Rules 1.7 The Chain Rule 1.8 Higher-Order Derivatives 2. Applications of Differentiation 2.1 Using First Derivative to Find Maximum and Minimum Values and Sketch Graphs 2.2 Using Second Derivatives to Find the Maximum and Minimum Values and Sketch Graphs 2.3 Graph Sketching: Asymptotes and Rational Functions 2.4 Using Derivatives to Find Absolute Maximum and Minimum Values 2.5 Maximum-Minimum Problems: Business and Economics Applications 2.6 Marginals and Differentials 2.7 Implicit Differentiation and Related Rates 3. Exponential and Logarithmic Functions 3.1 Exponential Functions 3.2 Logarithmic Functions 3.3 Applications: Uninhibited and Limited Growth Models 3.4 Applications: Decay 3.5 The Derivatives of a^x and log_a x 3.6 An Economics Application: Elasticity of Demand 4. Integration 4.1 Antidifferentiation 4.2 Antiderivativesas Areas 4.3 Area and Definite Integrals 4.4 Properties of Definite Integrals 4.5 Integration Techniques: Substitution 4.6 Integration Techniques: Integration by Parts 4.7 Integration Techniques: Tables 5. Applications of Integration 5.1 An Economics Application: Consumer Surplus and Product Surplus 5.2 Applications of Integrating Growth and Decay Probkems 5.3 Improper Integrals 5.4 Probability 5.5 Probability: Expected Value; The Normal Distribution 5.6 Volume 5.7 Differential Equations
8.	METHODS OF INSTRUCTION:		To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities. Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus. Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately. The instructor may assign point values to such activities.
9.	ACADEMIC INTEGRITY:		The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.
10.	DISABILITY STATEMENT:		Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.
11.	SPECIAL REMARKS:	*Homework: Homework will be assigned and evaluated as determined by the instructor. Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made. Special Note for Online Section (01W):* You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP. *Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE* in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class. *Use of Electronics in the Classroom:* Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.