CCCOnline LogoCourse Snapshot for MAT 202 - Calculus II

The information listed below is subject to change. Please review the course syllabus within your online course at the start of class.

Course Competencies

The competencies you will demonstrate in this course are as follows:

  1. Write and state clearly the definitions and properties, differentiate, and integrate logarithmic and exponential functions,
  2.  Set up and solve applied problems involving logarithmic and exponential functions as selected by the instructor,
  3.  Differentiate and integrate the inverse trigonometric functions,
  4. Define, differentiate, and integrate hyperbolic functions as selected by the instructor,
  5.  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,
  6.  Use various limit theorems to evaluate improper integrals,
  7.  Determine the convergence or divergence of various sequences and series,
  8.  Use Taylor and Maclaurin series to express selected functions,
  9.  Use Taylor's formula with remainder to approximate selected functions,
  10.  Identify and graph equations involving a variety of conic sections,
  11.  Convert between Cartesian and polar coordinates,
  12.  Graph and determine the area of regions defined by polar equations,
  13.  Read, analyze and apply written material to new situations,
  14.  and demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information.
Learning concepts for this course are enchanced using modules, websites, and online discussions.

Module Outcomes Mapped to Competencies

Introduction to Module R - Review of Calculus I Learning Outcomes

 Mapped to Course Competencies (above)
  1. Evaluate the limit of a function using multiple methods.
  2. Select and apply appropriate differentiation techniques.
  3. Select and apply appropriate integration techniques.
  4. Recognize basic derivatives and anti-derivatives.
  5. Apply Calculus techniques to applied problems, such as optimization problems.
  6. Comfortably use your TI calculator to perform arithmetic, algebraic, Calculus and graphing operations.
 Mapping coming soon.


Introduction to Module 7A - Principles of Integral Evaluation, Part I Learning Outcomes

Mapped to Course Competencies (above)

  1. Recognize and apply the Integration by Parts technique.
  2. Manipulate and evaluate integrals with powers of trigonometric functions.
  3. Use the trigonometric substitution technique.
  4. Apply these techniques in real life problems.
 Mapping coming soon.

Introduction to Module 7B - Principles of Integral Evaluation, Part II Learning Outcomes

Mapped to Course Competencies (above)

  1. Model and recognize models using differential equations.
  2. Recognize separable differential equations and apply the technique of separable equations.
  3. Draw slope fields to approximate general solutions.
  4. Apply Euler's method to approximate a particular solution.
  5. Recognize and solve first order differential equations.
  6. Apply differential equations to real world problems.
 Mapping coming soon.

Introduction to Module 8 - Mathematical Modeling with Differential Equations Learning Outcomes

Mapped to Course Competencies (above)

  1. Model and recognize models using differential equations.
  2. Recognize separable differential equations and apply the technique of separable equations.
  3. Draw slope fields to approximate general solutions.
  4. Apply Euler's method to approximate a particular solution.
  5. Recognize and solve first order differential equations.
  6. Apply differential equations to real world problems.
 Mapping coming soon.

Introduction to Module 9A - Infinite Series, Part I Learning Outcomes

Mapped to Course Competencies (above)

  1. Determine the convergence or divergence of sequences.
  2. Determine the convergence or divergence of series, using tests for convergence.
  3. Recognize when to use and how to apply the comparison tests for convergence.
  4. Recognize when to use and how to apply the root test.
  5. Recognize when to use and how to apply the ratio test.
 Mapping coming soon.

Introduction to Module 9B - Infinite Series, Part II Learning Outcomes

  
  1. Recognize when to use and how to apply the Alternating Series Test.
  2. Determine conditional and absolute convergence of a series.
  3. Recognize and use Taylor Series.
  4. Recognize and use Maclaurin Series.
  5. Recognize and use Power Series.
  6. Differentiate and integrate power series.
  7. Apply these series to real world problems.
 Mapping coming soon.

Introduction to Module 10 - Parametric and Polar Curves; Conic Sections Learning Outcomes

  
  1. Convert rectangular equations to parametric equations and vice versa.
  2. Find tangent lines and arc length in parametric form.
  3. Convert rectangular equations to polar form and vice versa.
  4. Find tangent lines, arc length, and area in polar form.
  5. Identify, find the equations for, and graph conic sections.
  6. Rotate conic sections off their axes...  if those axes are x- and y-axes.
  7. Convert and work with conic sections in polar coordinates.
  8. Apply polar and parametric equations and formulas to real world problem.
 Mapping coming soon.

Introduction to Module 11 - Putting it All Together Learning Outcomes

 Final Exam

Course Time Commitment and Expectations

For every credit hour, students should plan to spend an average of 2-3 hours per week for course-related activities in a 15-week course. For example, a 3 credit hour course would average an average 6-9 hours per week to read/listen to the online content, participate in discussion forums, complete assignments, and study the course material. For 10  and 6-week courses, the amount of time per week will be higher so all course competencies, module outcomes, and assignments will be covered.

Aside from typical reading assignments, this course has the following (Please Note: This list is subject to change based on the discretion of the instructor facilitating this course.):

Class Assignment Total Points
Introduction 5
Scavenger Hunt 10
Discussions (Best 6 out of 7 @ 10 points each) 60
Homework (Best 13 out of 14 @ 5 points each) 65
Quizzes (Best 13 out of 14 @ 5 points each) 65
Exams (Best 6 out of 7 Module R - 10 exam scores @ 100 points each) 600
Group Project 45
Module 11 (Final) Exam 150
TOTAL 
 1,000

 

 

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