Syllabus

NORTH CENTRAL TEXAS COLLEGE

COURSE SYLLABUS

 

 

Course Title:

Calculus II

Course Prefix & Number: 

MATH 2414

Section Number: 

310

Semester/Year:

Fall 2019

Online

Semester Credit Hours:

4

Lecture Hours:

48

Lab Hours:

 

Course Description (NCTC Catalog): Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.     

Course Prerequisite(s): MATH 2413 Calculus I

Required or Recommended Course Materials:

Thinkwell Access (Canvas) - Thinkwell provides lecture videos as well as practice exercises and homework assignments.  See “Getting Started with Thinkwell” on Homepage for more information.

 

Internet access is required.

 

Scientific Calculator. (Use of calculators may be restricted on tests.  See Canvas Homepage for more info on calculators.)

 

Note: (Optional)  You may want to purchase a Calculus textbook.  There is no book to go along specifically with the Thinkwell videos, but any Calculus textbook will give more examples and practice. There are some free textbooks online or you can find older editions of books typically for a big discount!  We will be doing some assignments from OpenStax Calculus Volume 2. 

             

 

 

INSTRUCTOR INFORMATION

Name of Instructor:

Ben Owens

Campus/Office Location:

Flower Mound 107

Office Hours:

Tuesday: 9:30-11:00 ; 12:30-2:00 ; 3:30-5:30

Thursday: 9:30-11:00 ; 12:30-2:00 ; 3:30-5:30

Fridays: by appointment only

Online office hours: TBD

Telephone Number:

940-498-6295

E-mail Address:

bowens@nctc.edu

 


 

GRADING CRITERIA

# of Graded Course Elements

Graded Course Elements

Percentage or Point Values

40

Thinkwell Homework (Online)

10%

20

OpenStax Assignments (Online)

5%

15

Discussion Assignments (Online)

5%

3

Tests (In person)

60%

1

Final Exam (In person)

20%

Grade Scale:   90 – 100% = A;   80 – 89% = B; 70 – 79% = C;  60 – 69% = D;  Below 60% = F

 

***Tests must be taken on an NCTC campus with a Math division proctor, at an NCTC Testing Center, or at an approved test proctoring location.  NCTC offers testing at any campus (Gainesville, Corinth, Flower Mound, Bowie, Graham).  If it is more convenient for you to take the test at a different location (another college/university for instance) please email me to make arrangements for your testing.***

 

All assignments are due on Sunday nights.  If for some reason the due dates need to be adjusted I will email the class.  See “Assignment Descriptions” on the Course Homepage for more details about assignments.

 

Tests must be completed in the time frames listed below.

 

Test Completion Window

Sections Covered on Test

Test 1

Saturday, September 28st (or the week preceding: Tues. 9/24 – Fri. 9/27)

Ch. 14, Ch. 15, Ch. 16

Test 2

Saturday, October 19th (or the week preceding: Tues. 10/15 – Fri. 10/18)

Ch. 17, Ch. 18

Test 3

Saturday, November 23rd (or the week preceding: Tues. 11/19 – Fri. 11/21)

Ch. 19

Final Exam

Saturday, December 7th (or Finals Week: Mon. 12/9 – Wed. 12/11)

All Chapters (14 – 20)

 

 

STUDENT LEARNING OUTCOMES (From Academic Course Guide Manual/Workforce Education Course Manual/NCTC Catalog

At the successful completion of this course the student will be able to:

1

Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.

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.

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.

Tentative Schedule

Week

Thinkwell Sections

Open Stax: Calculus Volume 2 https://openstax.org/details/books/calculus-volume-2

Week 1

Introduction / Review

An Introduction to Calculus II

14.1 - The Area Between Curves

16.1  - Integration Review/Tables

 

2.1 Area between Curves

 

3.5 Other Techniques for Integration

1.5 Substitution

Week 2

L’Hopital’s Rule

15.1 Indeterminate Quotients

15.2 - Other Indeterminate Forms

Integration Techniques

16.2 - Integrals Involving Powers of Sine and Cosine

 

https://openstax.org/details/books/calculus-volume-1

(Open Stax:  Calculus Volume 1)

4.8 L’Hopital’s Rule

 

3.2 Trigonometric Integrals

Week 3

16.3 - Integrals Involving Powers of Other Trigonometric Functions

16.4 - Introduction to Integration by Partial Fractions

16.5 - Integration by Partial Fractions; Repeated Factors

3.4 Partial Fractions

 

 

Week 4

16.6 - Integration by Parts

16.7 - An Introduction to Trigonometric Substitution

16.8 - Trigonometric Substitution Strategy

3.1 Integration by Parts

3.3 Trigonometric Substitution

Week 5

Improper Integrals

17.1 - Improper Integrals

Applications of Integral Calculus

18.1 - The Average Value of a Function

18.2 - Finding Volumes Using Cross-Sections

3.7 Improper Integrals

 

2.2 Determining Volume by Slicing

Week 6

18.3 - Disks and Washers

18.4 - Shells

 

2.2 Determining Volume by Slicing

2.3 Volumes of Revolution: Cylindrical Shells

Week 7

18.5 - Arc Lengths and Functions

18.6 - Work

18.7 - Moments and Centers of Mass

 

2.4 Arc Length of a Curve and Surface Area

2.5 Physical Applications

2.6 Moments / Centers of Mass

Week 8

Sequences and Series

19.1 - Sequences

19.2 - Monotonic and Bounded Sequences

19.3 - Infinite Series

 

5.1 Sequences

 

5.2 Infinite Sequences

Week 9

19.4 - Convergence and Divergence

19.5 - The Integral Test

19.6 - The Direct Comparison Test

19.7 - The Limit Comparison Test

5.3 The Divergence and Integral Tests

5.4 Comparison Tests

Week 10

19.8 - The Alternating Series

19.9 - Absolute and Conditional Convergences

19.10 - The Ratio and Root Tests

19.11 - Polynomial Approximations of Elementary Functions

5.5 Alternating Series

 

5.6 Ratio and Root Tests

 

Week 11

19.12 - Taylor and Maclaurin Polynomials

19.13 - Taylor and Maclaurin Series

6.3 Taylor and Maclaurin Series

Week 12

19.14 - Power Series

19.15 - Power Series Representations of Functions

 

6.1 Power Series and Functions

6.2 Properties of Power Series

Week 13

Parametric Equations and Polar Coordinates

20.1 - Understanding Parametric Equations

20.2 - Calculus and Parametric Equations

7.1 Parametric Equations

 

7.2 Calculus of Parametric Curves

Week 14

20.3 - Understanding Polar Coordinates

20.4 - Polar Functions and Slope

20.5 - Polar Functions and Area

7.3 Polar Coordinates

7.4 Area and Arc Length in Polar Coordinates

Week 15

Review for Final Exam / Final Exam

 

Week 16

Final Exam

Final Exam

 

For a more detailed schedule, see the “Detailed Course Schedule” on the Course Homepage.

 

STUDENT EMAIL

All students at NCTC are assigned a student email address, also known as Lion Pride email. Lion Pride email can be accessed on the NCTC home page by clicking on MyNCTC, then the link “Lion Pride Email” to the left. After clicking the Lion Pride Email link, the Microsoft Office 365 window will open.
1. Enter your NCTC student e-mail address. (for example, Smithj123456@student.nctc.edu)

2. Enter your password (your NCTC Student ID Number, either 7 or 9 numbers).

3. From the list of Microsoft icons, choose MAIL.

4. You will be asked to set your language and local time zone (Central Time). Your account is now activated.

 

**It is the student’s responsibility to activate and regularly monitor the assigned NCTC (Lion Pride) e-mail account. Important announcements and notifications from the Admissions office, Financial Aid, or other college staff will be sent via the Lion Pride student email system.

 

For communicating with classmates and instructors, students also have an option to communicate through Canvas. Canvas messaging is NOT the same as Lion Pride e-mail. Failure to read and/or receive NCTC e-mails (either in Lion Pride or in Canvas) is no excuse for not complying with any school policy. Be sure to regularly check BOTH the Lion Pride email as well as the Canvas inbox for important messages and information.

 

ATTENDANCE POLICY

Regular and punctual attendance is expected of all students in all classes for which they have registered. All absences are considered to be unauthorized unless the student is absent due to illness or emergencies. It is the student’s responsibility to provide documentation as to the emergency for approval by the faculty member. Approved college-sponsored activities are also excused absences. The instructor is responsible for judging the validity of any reason given for an absence. Valid reasons for absence, however, do not relieve the student of the responsibility for making up required work. Students will not be allowed to make up an examination missed due to absence unless the absence is documented and excused by the instructor. Student will be dropped from a class by the Registrar upon recommendation of the instructor who feels the student has been justifiably absent or tardy a sufficient number of times to preclude meeting the course’s objectives. Persistent, unjustified absences from classes or laboratories will be considered sufficient cause for College officials to drop a student from the rolls of the College. From Board Policy FC (LOCAL)

LAST DAY TO WITHDRAW

Last day to withdraw from a 16-week course with a “W” is Friday, November 1, 2019.

 

MATH LAB

Students who need help with any math class can visit the NCTC Mathematics Lab to receive assistance. No appointments are necessary. See the most current tutoring hours for all five campuses at http://www.nctc.edu/student-services/student-success/tutoring/mathematics-lab.html

 

TIMES SUBJECT TO CHANGE BASED ON TUTOR AVAILABILITY:

Corinth Math Lab – 186

All other campuses

Monday – Thursday          8:30 am – 6:30 pm

Check the Math Lab/tutoring hours

Friday                                    8:30 am – 12:00 pm

on the website listed above.

Saturday                             10:00 am – 1:00 pm

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

DISABILITY SERVICES (Office for Students with Disabilities)

The Office for Students with Disabilities (OSD) provides accommodations for students who have a documented disability. On the Corinth Campus, go to room 170 or call 940-498-6207. On the Gainesville Campus, go to room 110 or call 940-668-4209.  Students on the Bowie, Graham, Flower Mound, and online campuses should call 940-498-6207.

North Central Texas College is committed to both the spirit and letter of federal equal opportunity legislation, including the Americans with Disabilities Act (ADA) of 1990, ADA Amendments Act of 2009, and Section 504 of the Rehabilitation Act of 1973 (P.L. 93-112).   https://www.nctc.edu/_documents/academics/student-handbook.pdf

 

CORE CURRICULUM FOUNDATIONAL COMPONENT AREA (For classes in the Core)________       


           Communication

           Mathematics                

           Life and Physical Science

           Language, Philosophy & Culture

           Creative Arts

           American History

 

           Government/Political Science

           Social and Behavioral Sciences

           Component Area Option

 


REQUIRED CORE OBJECTIVES (For classes in the Core)


           Critical Thinking

             Communication

             Empirical and Quantitative

 

             Teamwork

             Personal Responsibility

             Social Responsibility


COURSE TYPE

            Academic General Education Course (from ACGM but not in NCTC Core)

           Academic NCTC Core Curriculum Course

           WECM Course

 

STUDENT HANDBOOK

Students are expected to follow all rules and regulations found in the student handbook. https://www.nctc.edu/_documents/academics/student-handbook.pdf

 

ACADEMIC DISHONESTY

Scholastic dishonesty shall include, but is not limited to cheating, plagiarism, academic falsification, intellectual property dishonesty, academic dishonesty facilitation and collusion.  Faculty members may document and bring charges against a student who is engaged in or is suspected to be engaged in academic dishonesty.  See Student Handbook, “Student Rights & Responsibilities: Student Conduct ([FLB(LOCAL)]”. 

Consequences for academic dishonesty may include:

  1.  Zero on the assignment
  2. Failing grade for the course

 

Name of Chair :

Dr. Elizabeth Howell

Office Location:

Corinth 236

Telephone Number:

940.498.6209

E-mail Address:

ehowell@nctc.edu

Name of Instructional Dean:

Mary Martinson

Office Location:

Gainesville 1404

Telephone Number:

940.668.7731 ext. 4377

E-mail Address:

mmartinson@nctc.edu

 

 

 

 

 

 

 

 

 

 

CAMPUS RESTRICTIONS

Tobacco-Free Campus:  NCTC restricts the use of all tobacco products, including cigarettes, e-cigarettes, cigars, pipes, and smokeless tobacco, on campus property.

 

Campus Carry: Effective August 1, 2017, a license holder may carry a concealed handgun on or about the license holder's person while the license holder is on the campus of an institution of higher education or private or independent institution of higher education in this state. For more information, see the website at http://www.nctc.edu/police/campus-carry.html

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