Course Description

MA 241 is the second course in the three-semester calculus sequence for science and engineering majors. This 4-credit course focuses on advanced integration techniques, differential equations, infinite series, and applications in physics and engineering. Computational tools are used for visualization and problem-solving throughout.

Topics Covered

• Arc length, average value, and applied integrals
• Trigonometric integrals and substitutions
• Partial fractions and numerical integration
• Improper integrals
• First- and second-order differential equations (homogeneous and non-homogeneous)
• Sequences and series
• Power series, Taylor and Maclaurin series, convergence tests

Learning Outcomes

By the end of the course, students will be able to:

• Evaluate complex integrals using appropriate techniques
• Solve basic first and second-order differential equations
• Model physical systems using separable and linear DEs
• Analyze the convergence of infinite series
• Construct and apply power series and Taylor approximations

Textbooks & Resources

1. Franke, Griggs, & Norris
   Calculus II for Engineers and Scientists
   Included as a PDF with WebAssign. You may also access at NC State Libraries.

2. Recommended Learning Tools

   • Paul’s Online Math Notes – Calculus II — excellent topic breakdowns with examples
   • Desmos Scientific Calculator — to visualize functions and series convergence
   • Khan Academy Calculus II — structured video lessons
   • Symbolab — step-by-step solutions for integrals and series (use as supplement, not substitute)
   • NC State Moodle (WolfWare) — access homework, announcements, and grades

Assessment Structure

• WebAssign Homework — 15%
• Three In-Class Tests — 60% (20% each)
• Comprehensive Final Exam — 25%

Grading follows the standard NCSU scale. No makeup tests are provided for unexcused absences.

Tips for Success

• Begin WebAssign assignments early to avoid missing deadlines
• Use Paul’s Notes and Khan Academy to reinforce conceptual understanding
• Practice solving series and DEs manually to build fluency
• Leverage office hours (instructor & TA) for personalized guidance
• Use Desmos or Symbolab to visualize convergence and approximation behavior

This page reflects the Summer 2024 offering of MA 241. Policies and tools may evolve in future semesters.