MAT 202

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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

TITLE OF COURSE:

Calculus II

PREFIX/NUMBER:

MAT 202

CREDIT HOURS:

5

2.

PREREQUISITE:

Successful competition of MAT 201 with a C or better

3.

RESOURCES NEEDED:

TEXT:

Calculus, 7/e by James Stewart

ISBN: 9780538497817

SUPPLIES:

Paper, pencil, scientific calculator

4.

COURSE DESCRIPTION:

Continuation of single variable calculus which will include techniques of integration, polar coordinates, analytic geometry, improper integrals, and infinite series.

5.

COURSE OBJECTIVES :

A. Write and state clearly the definitions and properties, differentiate, and integrate logarithmic and exponential functions.

B. Set up and solve applied problems involving logarithmic and exponential functions as selected by the instructor.

C. Differentiate and integrate the inverse trigonometric functions.

D. Define, differentiate and integrate hyperbolic functions as selected by the instructor.

E. Use the appropriate algorithm(s) - including integration by parts, trigonometric substitutions, partial fractions, numerical methods, etc. - to integrate algebraic, logarithmic, exponential, trigonometric, and composite functions.

F. Use various limit theorems to evaluate improper integrals.

G. Determine the convergence or Divergence of various sequences and series.

H. Use Taylor and Maclaurin series to express selected functions.

I. Use Taylor's formula with remainder to approximate selected functions.

J. Identify and graph equations involving a variety of conic sections.

K. Convert between Cartesian and polar coordinates.

L. Graph and determine the area of regions defined by polar coordinates.

M. Simplify all answers using algebraic techniques.

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

O. 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 6 - 11

6. Inverse Functions

6.1 Inverse Functions

6.2 Exponential Functions and Their Derivatives

6.3 Logarithmic Functions

6.4 Derivatives of Logarthmic Functions

6.5 Exponential Growth and Decay

6.6 Inverse Trigonometric Functions

6.7 Hyperbolic Functions

6.8 Intermediate Forms and l’Hospital’s Rule

7. Techniques of Integration

7.1 Integration by Parts

7.2 Trigonometric Integrals

7.3 Trigonometric Substitution

7.4 Integration of Rational Functions by Partial Fractions

7.5 Strategy for Integration

7.6 Integration Using Tables and Computer Algebra Systems

7.7 Approximate Integration

7.8 Improper Integrals

8. Further Applications of Integration

8.1 Arc Length

8.2 Area of a Surface of Revolution

8.3 Applications to Physics and Engineering

8.4 Applications to Economics and Biology

8.5 Probability

9. Differential Equations

9.1 Modeling with Differential Equations

9.3 Separable Equations

10. Parametric Equations and Polar Coordinates

10.1 Curves Defined by Parametric Equations

10.2 Calculus with Parametric Curves

10.3 Polar Coordinates

10.4 Areas and Lengths in Polar Coordinates

10.5 Conic Sections

10.6 Conic Sections in Polar Coordinates

11. Infinite Sequences and Series

11.1 Sequences

11.2 Series

11.3 The Integral Test and Estimates of Sums

11.4 The Comparison Tests

11.5 Alternating Series

11.6 Absolute Convergence and the Ration and Root Test

11.7 Strategy for Testing Series

11.8 Power Series

11.9 Representations of Functions as Power Series

11.10 Taylor and Maclaurin Series

11.11 Applications of Taylor Polynomials

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.

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.

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:		Calculus II
	PREFIX/NUMBER:		MAT 202	CREDIT HOURS:	5
2.	PREREQUISITE:		Successful competition of MAT 201 with a C or better
3.	RESOURCES NEEDED:
	TEXT:		Calculus, 7/e by James Stewart ISBN: 9780538497817
	SUPPLIES:		Paper, pencil, scientific calculator
4.	COURSE DESCRIPTION:		Continuation of single variable calculus which will include techniques of integration, polar coordinates, analytic geometry, improper integrals, and infinite series.
5.	COURSE OBJECTIVES :		A. Write and state clearly the definitions and properties, differentiate, and integrate logarithmic and exponential functions. B. Set up and solve applied problems involving logarithmic and exponential functions as selected by the instructor. C. Differentiate and integrate the inverse trigonometric functions. D. Define, differentiate and integrate hyperbolic functions as selected by the instructor. E. Use the appropriate algorithm(s) - including integration by parts, trigonometric substitutions, partial fractions, numerical methods, etc. - to integrate algebraic, logarithmic, exponential, trigonometric, and composite functions. F. Use various limit theorems to evaluate improper integrals. G. Determine the convergence or Divergence of various sequences and series. H. Use Taylor and Maclaurin series to express selected functions. I. Use Taylor's formula with remainder to approximate selected functions. J. Identify and graph equations involving a variety of conic sections. K. Convert between Cartesian and polar coordinates. L. Graph and determine the area of regions defined by polar coordinates. M. Simplify all answers using algebraic techniques. N. Read, analyze, and apply written material to new situations. O. 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 6 - 11 6. Inverse Functions 6.1 Inverse Functions 6.2 Exponential Functions and Their Derivatives 6.3 Logarithmic Functions 6.4 Derivatives of Logarthmic Functions 6.5 Exponential Growth and Decay 6.6 Inverse Trigonometric Functions 6.7 Hyperbolic Functions 6.8 Intermediate Forms and l’Hospital’s Rule 7. Techniques of Integration 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.6 Integration Using Tables and Computer Algebra Systems 7.7 Approximate Integration 7.8 Improper Integrals 8. Further Applications of Integration 8.1 Arc Length 8.2 Area of a Surface of Revolution 8.3 Applications to Physics and Engineering 8.4 Applications to Economics and Biology 8.5 Probability 9. Differential Equations 9.1 Modeling with Differential Equations 9.3 Separable Equations 10. Parametric Equations and Polar Coordinates 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates 10.5 Conic Sections 10.6 Conic Sections in Polar Coordinates 11. Infinite Sequences and Series 11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests 11.5 Alternating Series 11.6 Absolute Convergence and the Ration and Root Test 11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials
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. 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. 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.