MATH-2414 Calculus II


Marcus McGuff

Credit Fall 2024


Section(s)

MATH-2414-011 (11694)
LEC MW 6:00pm - 7:45pm DIL DLS DIL

INFORMATION ON THIS SITE

 

The information posted on this site addresses only the information required by Texas House Bill 2504; it is not the complete course syllabus. Complete information about the class will be available on my website for the course. That includes the grading policy, class withdrawal policy, class participation requirements, scholastic dishonesty, and other important information. The complete course syllabus will be handed out on the first day of class for classroom courses; that information will be posted on Blackboard for all courses.


Course Requirements

Tests: There will be 3 exams plus a comprehensive final exam required in this course. The following is a preliminary listing of the material covered on each test; this will probably change slightly as the semester progresses, so use this as a guide only.  (The sections covered on each test will be clearly announced before each test.  Each test will emphasize the newer material, but could cover any previous material as well.

Test 1 : Chapter 6

Test 2 : Chapter 8

Test 3 : Chapter 10, 11

Final Exam : Chapter 9, 12, 11.4, 8.8, plus Comprehensive over everything

Homework: Written homework will be collected regularly for a grade. There may be occasional computer based assignments or homework quizzes, depending on class time and needs (any extra assignments/quizzes will be part of your homework/quiz/lab grade for the course).


Readings

This is a First Day™ class. The cost of required course materials, including an online version of the textbook and software access, has been added to your tuition and fees bill.     

Textbook: Calculus: Early Transcendentals, 3rd Edition by Briggs, Cochran, Gillette, & Schulz. Pearson Publishing (MyLab software) ISBN: 9780134763644

Online Component: MyLab is not required for this course. Access to the software is included with the First Day version of the text, but you may use a previously purchased print version of the book as long as you have it available right away.

Calculator: You must have access to technology that enables you to (1) Graph a function, (2) Find the zeroes of a function. (3) Do numerical integration. Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use. Other calculator brands can also be used. Your instructor will determine the extent of calculator use in your class section.

Other Technology: You may use a graphing calculator on your homework and tests, though it is not required. Other freely accessible software may be required for computer assignments. Mathematica software may be available for student use on campus.

You will need access to a scanner, phone, or tablet (iOS or Android) with a decent camera on it in order to submit your homework via Blackboard (homework is only accepted elctronically). And you will need to use one or the other of these to log in to virtual office hours if you wish to make use of them. Normally, tests will take place in person during class, but in the event that the college moves classes online, you will also need access to a Windows or a Mac computer with a webcam and microphone for taking proctored tests. Eligible students can check out required technology at https://www.austincc.edu/students/student-technology-services.


Course Subjects

Note: Schedule changes may occur during the semester. Any changes will be announced in class and posted as a Blackboard Announcement. 

Week

Dates

Sections

Material

1

8/26/24

Review, 6.1

Whirlwind review of calculus I, including velocity and net change

 

8/28/24

6.2

Regions between curves

2

9/2/24

Holiday – No class

 

9/4/24

6.3

Volume by slicing

3

9/9/24

6.4

Volume by shells

 

9/11/24

6.7

Physical applications

4

9/16/24

6.7 (cont.)

More on physical applications

 

9/18/24

6.5, 6.6

Length of curves and surface area

5

9/23/24

 

 Test 1

 

9/25/24

8.1, 8.2

Basic approaches, Integration by parts

6

9/30/24

8.3, 8.4

Trigonometric equations, Trigonometric substitution

 

10/2/24

8.4 (cont.)

More Trigonometric substitution

7

10/7/24

8.5, 8.6

Partial fractions, integration strategies

 

10/9/24

8.9

Improper integrals

8

10/14/24

8.7

Other methods of integration

 

10/16/24

 

 Test 2

9

10/21/24

10.1, 10.2

Overview and sequences

 

10/23/24

10.3, 10.4

Infinite series, the divergence and integral tests

10

10/28/24

10.5

Comparison tests

 

10/30/24

10.6

Alternating series

11

11/4/24

10.7, 10.8

The ratio and root tests, choosing a convergence test

 

11/6/24

11.1, 11.2

Approximating functions with polynomials, Properties of power series

12

11/11/24

Holiday – No Class

 

11/13/24

11.3, 11.4

Taylor series, Working with Taylor series

13

11/18/24

 

Test 3

 

11/20/24

8.8

Numerical integration

14

11/25/24

9.1, 9.2

Differential equations: Basic ideas, direction fields and Euler’s Method

 

11/27/24

Holiday – No Class

15

12/2/24

9.3

Separable differential Equations

 

12/4/24

12.1, 12.2

Review of parametric equations, Review of polar coordinates

16

12/9/24

12.3

Calculus in polar coordinates

 

12/11/24

 

 Final Exam

 


Student Learning Outcomes/Learning Objectives

Student Learning Outcomes

Upon successful completion of the course, a student should 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.
  9. Use parametric equations to graph curves and find areas and lengths.

General Education Competencies

  1. Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO. 
  2. Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO. 
  3. Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in SLOs # 1, 2, 3, 5, and 7. 
  4. Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.

 


Office Hours

Th 4:00 PM - 6:00 PM Online via Zoom

NOTE Online via Zoom Online via Zoom Please see Blackboard for Zoom password. Zoom link is https://zoom.us/j/5122234024 If you are not in my class, please email me at mmcguff@austincc.edu in advance for the password, etc.

M W 7:45 PM - 9:15 PM Online via Zoom

NOTE Online via Zoom Online via Zoom Please see Blackboard for Zoom password. Zoom link is https://zoom.us/j/5122234024 If you are not in my class, please email me at mmcguff@austincc.edu in advance for the password, etc.

Published: 08/20/2024 21:58:05