Math 125 Calculus II

Course Description

(4-0) 4 credits. Prerequisite: MATH 120 completed with a minimum grade of “C” or appropriate score on departmental Trigonometry Placement Examination and MATH 123 completed with a minimum grade of “C.” A continuation of the study of calculus, including the study of sequences, series, polar coordinates, parametric equations, techniques of integration, applications of integration, indeterminate forms, and improper integrals.

Couse Learning Outcomes

A student who successfully completes this course should be able to:

  1. Solve linear systems of equations and matrix equations.
  2. Evaluate integrals with advanced techniques, such as: substitution, Trigonometric substitution, integration by parts, and partial fractions.
  3. Produce the Taylor series expansions for functions, including many transcendental functions.
  4. Use a computer algebra system to implement the solution techniques that are covered in Calculus 2.
 

This course meets the BOR mandated GenEd Goal #5: Students will understand and apply fundamental mathematical processes and reasoning.

Student Learning Outcomes

As a result of taking courses meeting this goal, students will:

  1. Use mathematical symbols and mathematical structure to model and solve real world problems.
    • Assessment- Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring differentiation and integration techniques. This will be demonstrated on quizzes, labs, homework, and/or exams.
     
  2. Demonstrate appropriate communication skills related to mathematical terms
    • Assessment- Students will correctly use functional notation of algebra, trigonometry, and calculus. This will be demonstrated on quizzes, labs, homework, and/or exams.
     
  3. Demonstrate the correct use of quantifiable measurements of real world situations
    • Assessment - Students will apply their knowledge of calculus in one-variable, infinite sequences and series, and parametric equations and polar equations in applications such as area computation, function approximation, and arc-length computation. This will be demonstrated on quizzes, labs, homework, and/or exams.