Lecture Notes and Videos

Detailed notes with the plan for each chapter (goals, main facts, and problems to be discussed in videos) have been written in order to assist you throughout the course. They will be used as a primary means of instruction. In addition, you will find a copy of the notes with written answers, as well as video solutions.
The worksheets provide further problems that are typically covered in a recitation section and help to test understanding of the material.
The practice/review problems are even more problems given in the multiple choice format that you will see on the exams.

Chapter 1:    Equations, functions and graphs
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 1: Algebra and Geometry Review --- (answers)
 
Chapter 2:    Change, and the idea of the derivative
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 2: Average Rates of Change --- (answers)
 
Chapter 3:    The idea of limits
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 3: Limits --- (answers)
 
Chapter 4:    Computing some derivatives
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 4: Computing Derivatives Using Graphs --- (answers)
Worksheet 5: Computing Derivatives Using the Definition of Derivative --- (answers)
 
Chapter 5:    Formulas for derivatives
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 6: Computing Derivatives with Formulas --- (answers)
 
Supplement:   Exponential and logarithmic functions
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 7: More on Computing Derivatives with Formulas --- (answers)
Worksheet 8: Exponential Functions and Word Problems --- (answers)
 
Chapter 6:    Extreme values, the Mean Value Theorem, and curve sketching
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 9: Maximum and Minimum Values --- (answers)
Worksheet 10: Increasing and Decreasing Functions, Maxima and Minima, Concavity, Inflection Points --- (answers)
 
Chapter 7a:    Related Rates
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 11: Related Rates --- (answers)
 
Chapter 7b:    Optimization
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 12: Optimization Word Problems --- (answers)
Chapter 8:    The idea of the integral
lecture notes
notes with answers       
 
video       
 
Worksheet 13: The Idea of the Integral --- (answers)
Worksheet 14: More Idea of the Integral --- (answers)
 
Chapter 9:    Estimating definite integrals
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 15: Estimating Definite Integrals --- (answers)
Worksheet 16: More Estimating Definite Integrals --- (answers)
 
Chapter 10:     Integrals, antiderivatives, and the Fundamental Theorem of Calculus
lecture notes
notes with answers       
 
video        practice/review problems
answers to practice/review problems
 
Worksheet 17: Using the Fundamental Theorem of Calculus --- (answers)
Worksheet 18: Using the Fundamental Theorem of Calculus Some More --- (answers)