Welcome to Calculus II!

Welcome to Professor Baker's Calculus II class! This website is your central hub for all course-related information. Be sure to check back regularly for updates, announcements, and materials.

Important First Steps:

  • Syllabus: Review the Class Syllabus carefully to understand the course structure, grading policies, and expectations.
  • Contact Form: Please complete the Contact Form. This is crucial for me to reach you with important updates, such as class cancellations or essential information.

Tonight's Lesson: Section 5.2 - Integration Techniques

Tonight, we will begin with Section 5.2, focusing on techniques of integration. This section builds upon your Calculus I knowledge and introduces methods to solve more complex integrals.

Key Concepts Covered in Calculus II (MAT K256):

This course delves into a wide array of topics, including:

  • Integration Techniques: Mastering techniques like substitution, integration by parts, trigonometric substitution, and partial fractions.
  • Applications of Integration: Calculating areas between curves, volumes of solids of revolution (disks, washers, cylindrical shells), and exploring applications in physics and engineering.
  • Sequences and Series: Understanding convergence and divergence of sequences and series, including geometric series, power series, Taylor and Maclaurin series. This includes using tests like the divergence test, limit comparison test, integral test, and ratio test.
  • Parametric Equations and Polar Coordinates: Working with parametric equations to describe curves, and exploring polar coordinates. This includes finding derivatives and areas related to these representations. For example, converting from polar $(r, \theta)$ to rectangular coordinates $(x,y)$ uses the equations $x = r\cos(\theta)$ and $y = r\sin(\theta)$.
  • Vectors: Performing operations on vectors, finding standard representatives, and computing resultant vectors, including dot and cross products.

Course Objectives:

By the end of this course, you will be able to:

  1. Integrate functions using various techniques.
  2. Determine convergence/divergence of improper integrals and find their values.
  3. Calculate areas and volumes using integration.
  4. Solve separable differential equations.
  5. Analyze sequences and series for convergence/divergence.
  6. Represent functions as power series.
  7. Work with polar coordinates and parametric equations.
  8. Perform vector operations.

Grading Breakdown:

  • Participation: 10%
  • Tests (4): 15% each (60% total)
  • Final Exam: 30%

Important Resources:

  • Office Hours: T, R 4:00pm to 6:00pm (by appointment only) Room D205
  • Email: Padrick77@gmail.com
  • Disability Services: If you require accommodations, please contact the Disability Service Provider (DSP) as soon as possible.
  • MyCommNet Alert: Sign up for MyCommNet Alert for emergency notifications and weather-related announcements.

Remember, attendance and active participation are crucial for success in Calculus II. Don't hesitate to ask questions and seek help when needed. Let's have a great semester!