Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Calculus

Professor Knudson via YouTube

Overview

Prepare for a new career with $100 off Coursera Plus
Gear up for jobs in high-demand fields: data analytics, digital marketing, and more.
This course covers advanced topics in calculus, including techniques of integration, sequences, series convergence, power series, and Taylor series. By the end of the course, students will be able to apply various integration techniques, evaluate limits using L'Hopital's Rule, understand sequence convergence, and work with power and Taylor series. The teaching method involves theoretical explanations, examples, and problem-solving sessions. This course is intended for students or individuals with a foundational knowledge of calculus looking to deepen their understanding and skills in advanced calculus topics.

Syllabus

Calculus Technique of Integration: Trig Substitution.
Calculus Techniques of Integration: U-Substitution.
Calculus Techniques of Integration: Trig Substitutions (Another Example).
Calculus Techniques of Integration: Integration by Parts.
Calculus Techniques of Integration: Integration by Parts (Another Example).
Calculus Techniques of Integration: Partial Fractions.
Completing the Square.
Calculus Techniques of Integration: Trig Substitution (Completing the Square + Tangent Substitution).
Using L'Hopital's Rule to Evaluate Limits.
Calculus: Introduction to Sequences.
Calculus: Sequence Convergence.
Calculus: Geometric Series.
Calculus: Series Convergence.
Calculus: Ratio Test for Series Convergence.
Calculus: Convergence of Power Series (Radius of Convergence, Interval of Convergence).
Calculus: Radius of Convergence for a Power Series (Example).
Calculus: Radius of Convergence.
Calculus: Taylor Series Introduction.
Calculus: Creating a new Taylor Series by Substitution.
Calculus: Integrating Taylor Series.
Calculus: Radius of Convergence for a Taylor Series Example 1 (e^x).
Calculus: Differentiating Taylor Series.
Calculus: Radius of Convergence for the Taylor Series Expansion of the Natural Log.

Taught by

Professor Knudson

Reviews

Start your review of Calculus

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.