Important Files

• Class Syllabus
• Syllabus Quiz
• List of Learning Objectives
• List of Essential Knowledge Statements
• Contact Information Form
• Textbook Contract
• Video Series: TI-Nspire CX
• Video Series: TI-84 Plus CE

AB Files	Qtr 1	Qtr 2	Qtr 3	Qtr 4
Course Schedules
Gateway Exams

 

BC Files	Qtr 1	Qtr 2	Qtr 3	Qtr 4
Course Schedules
Gateway Exams

 

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Note: Topics that are BC-only are highlighted in yellow.

Summer Homework	HW	Sol
Prerequisite Content (Problems and Solutions)
Precalculus Review (Problems and Solutions)

 

Chapter 1: Limits and Their Properties	Notes	Vids	HW	Sol	CW	Sol
§1.2 Finding Limits Graphically and Numerically
§1.3 Evaluating Limits Analytically
§1.4 Continuity and One-Sided Limits
§1.5 Infinite Limits
§1.6 Limits at Infinity

 

Chapter 2: Differentiation	Notes	Vids	HW	Sol	CW	Sol
§2.1 The Derivative and the Tangent Line Problem
§2.2 Basic Differentiation Rules and Rates of Change
§2.3 Product and Quotient Rules and Higher-Order Derivatives
§2.4a The Chain Rule
§2.4b The Chain Rule
§2.5 Implicit Differentiation
§2.6 Derivatives of Inverse Functions
§2.7 Related Rates

 

Chapter 3: Applications of Differentiation	Notes	Vids	HW	Sol	CW	Sol
§3.1 Extrema on an Interval
§3.2 Rolle's Theorem and the Mean Value Theorem
§3.3a Increasing and Decreasing Functions
§3.3b The First Derivative Test
§3.4a Concavity
§3.4b The Second Derivative Test
§3.5 A Summary of Curve Sketching
§3.6 Optimization Problems

 

Chapter 4: Integration	Notes	Vids	HW	Sol	CW	Sol
§4.1 Antiderivatives and Indefinite Integration
§4.3a Riemann Sums and Trapezoidal Approximations
§4.3b Properties of Definite Integrals
§4.4a The First Fundamental Theorem of Calculus
§4.4b The Second Fundamental Theorem of Calculus
§4.4c The Net Change Theorem
§4.5 Integration by Substitution
§4.6 The Natural Logarithmic Function: Integration
§4.7 Inverse Trigonometric Functions: Integration

 

Chapter 5: Differential Equations	Notes	Vids	HW	Sol	CW	Sol
§5.1a Slope Fields
§5.1b Euler's Method
§5.3 Separation of Variables
§5.4 The Logistic Equation

 

Chapter 6: Applications of Integration	Notes	Vids	HW	Sol	CW	Sol
§6.1 Area of a Region Between Two Curves
§6.2a Volume: The Disk and Washer Methods
§6.2b Volume: Solids with Known Cross Sections
§6.4 Arc Length

 

Chapter 7: Integration Techniques, L'Hôpital's Rule, and Improper Integrals	Notes	Vids	HW	Sol	CW	Sol
§7.1 Basic Integration Rules
§7.2 Integration by Parts
§7.5 Partial Fractions
§7.7 Indeterminate Forms and L'Hôpital's Rule
§7.8 Improper Integrals

 

Chapter 8: Taylor Polynomials and Infinite Series	Notes	Vids	HW	Sol	CW	Sol
§8.1 Review of Sequences and Series
§8.2 An Introduction to Taylor Polynomials
§8.3 A Systematic Approach to Taylor Polynomials
§8.4 Lagrange Remainder
§8.6 Power Series and the Ratio Test
§8.7a The Integral Test and p-Series
§8.7b The Direct and Limit Comparison Tests
§8.8a Alternating Series
§8.8b Varying-Sign Series
§8.10a Taylor Series
§8.10b Manipulation of Known Taylor Series
Chapter Text and Solutions by B. Goldstein

 

Chapter 9a: Polar Coordinates	Notes	Vids	HW	Sol	CW	Sol
§9.4a Polar Coordinates and Polar Graphs
§9.4b Polar Coordinates and Differentiation
§9.5 Area in Polar Coordinates

 

Chapter 9b: Parametric Equations and Vectors	Notes	Vids	HW	Sol	CW	Sol
§9.2 Plane Curves and Parametric Equations
§9.3 Parametric Equations and Calculus
§9.7 Vector-Valued Functions
§9.8 Velocity and Acceleration

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