CCSF Calculus II – Integral Calculus

Mathematics

Tác giả: Kendra Lockman
Nhà xuất bản: City College of San Francisco
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 98 mục

01: Fast Review of Important Calc I Stuff
1.01: Trigonometry
1.1E: Exercises
1.02: Derivatives Review
1.2E: Exercises
1.03: Integrals Review
1.3.01: Exercises
1.04: Integration by Substitution
1.4E: Exercises
02: Applications of Integration
2.01: Areas Between Curves
2.1E: Exercises
2.02: Volume by Cross-Sectional Area
2.2E: Exercises
2.03: Volumes of Revolution - Cylindrical Shells
2.3E: Exercises
2.04: Arc Length of a Curve and Surface Area
2.4E: Exercises
2.05: Work
2.5E: Exercises
2.06: Hydrostatic Force and Pressure
2.6E: Exercises
2.07: Moments and Centers of Mass
2.7E: Exercises
2.08: The Mean Value Theorem for Integrals
2.8E: Exercises
2.09: Chapter 2 Review Exercises
03: Techniques of Integration
3.01: Integration by Parts
3.1E: Exercises
3.02: Trigonometric Integrals
3.2E: Exercises
3.03: Trigonometric Substitution
3.3E: Exercises
3.04: Partial Fractions
3.4E: Exercises
3.05: Numerical Integration
3.5E: Exercises
3.06: Indeterminate Forms and LHospitals Rule
3.6E: Exercises
3.07: Improper Integrals
3.7E: Exercises
3.08: Chapter 3 Review Exercises
04: Sequences and Series
4.01: Sequences
4.1E: Exercises
4.02: Infinite Series
4.2E: Exercises
4.03: The Divergence and Integral Tests
4.3E: Exercises
4.04: The Comparison Tests
4.4E: Exercises
4.05: The Alternating Series Test
4.5E: Exercises
4.06: The Ratio and Root Tests
4.6E: Exercises
4.07: Chapter 4 Review Exercises
05: Power Series
5.01: Power Series and Functions
5.1E: Exercises
5.02: Properties of Power Series
5.2E: Exercises
5.03: Taylor and Maclaurin Series
5.3E: Exercises
5.04: Working with Taylor Series
5.4E: Exercises
5.05: Chapter 5 Review Exercises
06: Parametric Equations and Polar Coordinates
6.01: Parametric Equations
6.1E: Exercises
6.02: Calculus of Parametric Curves
6.2E: Exercises
6.03: Polar Coordinates
6.3E: Exercises
6.04: Area and Arc Length in Polar Coordinates
6.4E: Exercises
6.05: Conic Sections
6.5E: Exercises
6.06: Chapter 6 Review Exercises
07: Introduction to Differential Equations
7.01: Basics of Differential Equations
7.1E: Exercises for Section 8.1
7.02: Direction Fields and Numerical Methods
7.2E: Exercises for Section 8.2
7.03: Separable Equations
7.3E: Exercises for Section 8.3
7.04: The Logistic Equation
7.4E: Exercises for Section 8.4
7.05: First-order Linear Equations
7.5E: Exercises for Section 8.5
7.06: Chapter 7 Review Exercises
08: Appendices
8.01: Other Strategies for Integration
8.1E: Exercises
8.02: Volumes of Revolution - Cylindrical Shells
8.2E: Exercises for Section 6.3
8.A: Table of Derivatives
8.B: Table of Integrals