Course Number:    MATH 2414.P01 & P02

 

Course Title:  Calculus II

 

Course Description :   Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals. Lab included.   

 

Course Credit Hours: 4      

                                                Lecture Hours: 3

Lab Hours: 1

Prerequisite:     MATH 2413              

                                                                       

Student Learning Outcomes:

·         State-mandated Outcomes:  Upon successful completion of this course, students will:

1.      Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.  (Critical Thinking and Communication Skills)

2.      Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.

3.      Define an improper integral.

4.      Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.

5.      Determine convergence or divergence of sequences and series.  (Critical Thinking)

6.      Use Taylor and MacLaurin series to represent functions.

7.      Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.

8.      Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.

 

 

Withdrawal Policy:              “See the current Collin Registration Guide for the last day to withdraw. “

 

Collin College Academic Policies:  See the current Collin Student Handbook.”

 

 

Americans with Disabilities Act:

                                                Collin College will adhere to all applicable federal, state and local laws, regulations and guidelines with respect to providing reasonable accommodations as required to afford equal opportunity.  It is the student’s responsibility to contact the ACCESS office, SCC-G200 or 972.881.5898 (V/TTD: 972.881.5950) to arrange for appropriate accommodations.  See the current Collin Student Handbook for additional information.

 
 

Instructor’s Name:  Nick Geller

Office Number: L235

Office Hours

MWF:  8:30 – 9:00  MW 12:00 - 12:30

TR:    9:30 – 10:00 and 11:15 – 12:30

 

Phone Number: 972-377-1674

Email: ngeller@collin.edu

 

Class Information:   

Section Number: Math 2414.P01

Meeting Times:   MWF  9:00 – 10:50

Meeting Location:  J226

 

Section Number: Math 2414.P02

Meeting Times:   MWF  11:00 – 12:50

Meeting Location:  D140

 

Course Resources: Textbook:  Calculus: Early Transcendentals, 7th edition, by James Stewart, ©2012, Cengage Learning.

 

Supplies:  Graphing Calculator (TI-89, TI-92, or any other calculator with CAS may not be used on exams) 

 

 

Method of Evaluation:

4 Chapter Exams                                          100 pts each

Final Exam (Comprehensive)                         200 pts

Labs and Daily Quizzes                                 100 pts

Total points                                                   700  pts

                                                                                                              

Exam 1                                                 Ch 6, 7.1 & 7.2                       

Exam 2                                                 Ch 7 & 8.1- 8.3              

Exam 3                                                 Ch 9.1 – 9.4, 10.1 – 10.3        

Exam 4                                                 Ch 11                          

Final                                                     Comprehensive            

 

 

 

Grading Policy:           89.5 - 100                            A

                                    79.5 - 89.4                         B

                                    69.5 - 79.4                         C

                                    59.5 - 69.4                         D

                                    59.4 & Below                     F

 

 

 

Other Information:

If you miss an exam for a valid reason, the final exam will be used as a replacement grade. If no exams are missed, the final exam grade will replace the lowest exam grade.

 

                                Labs are due at the end of the class on assigned days. 

                                One late lab will be accepted.   All other late labs will result in a

         grade of 0.

                       

 

 

Course Calendar:

 

Week

Material Covered

1

Introduction, Syllabus, 6.1 Area Between Two Curves, 6.2 Volume: Disc Method,

2

6.3 Volume: Cylindrical Shell Method, 6.4 Work, 6.5 Average Value of a Function

3

7.1 Integration by Parts, 7.2 Trigonometric  Integrals

4

Exam 1, 7.3 Trigonometric Substitution,

5

7.4 Integration of Rational Functions by Partial Fractions,  7.5  Strategies For Integration

6

7.6 Integration Using Tables, 7.7 Approximate Integration

7

7.7 Approximate Integration (Cont.), 7.8 Improper Integrals, 8.1 Arc Length

8

Exam 2, Area of a Surface of Revolution, Applications to Physics and Engineering

9

9.1 Modeling with Differential Equations, 9.2 Direction Fields & Euler’s Method

10

9.3 Separable Equations, 9.4 Models for Population Growth

11

10.1 Curves Defined by a Parametric Equation, 10.2 Calculus and Parametric Curves,

10.3 Polar Coordinates

12

Exam 3, 11.1 Sequences, 11.2 Series, 11.3 Integral Test and Estimation of Sums

13

 11.4 Comparison Test, 11.5 Alternating Series,  11.6 Absolute Convergence & Ratio Test

14

11.8  Power Series, 11.9  Representation of a Function by a Power Series,  11.10 Taylor and MaClaurin Series

15

Applications of Taylor Polynomials, Exam 4, Review for Final Exam

16

Final Exam