Preparing for Calculus Bootcamp

Mathematics

Tác giả: Elliot Gangaram
Nhà xuất bản: Queens College
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 53 mục

01: Day 1
1.01: Introduction
1.1.01: Advice For Success
1.02: Real Numbers
1.03: Rules of Exponents and Radicals
1.04: Algebraic Expressions and Operations
1.05: Rationalizing Expressions
1.06: Factoring Polynomials
02: Day 2
2.01: Rational Expressions
2.02: Avoiding Common Pitfalls
2.03: Solving Inequalities
2.04: Introduction to Functions
2.05: Graphing Types of Functions
2.06: Finding Information About Functions From Graphs
2.07: Piecewise Defined Functions
03: Day 3
3.01: Difference Quotient
3.02: Transformations of Functions
3.03: More on Linear Functions
3.04: Absolute Value Functions
3.05: More on Quadratics
04: Day 4
4.01: Introduction to Function Composition
4.02: Composition of Functions
4.03: Rational Functions and Asymptotes
4.04: Average Rate of Change
4.05: Inverse Functions
05: Day 5
5.01: Exponential Functions
5.02: Graphing Exponential Functions
5.03: Logarithmic Functions
5.04: Graphing Logarithmic Functions
5.05: Laws of Logarithms
5.06: Exponential and Logarithmic Equations
06: Day 6
6.01: The Pythagorean Theorem
6.02: Trigonometry Preview - Circles
6.03: Angles - Radians and Degrees
6.04: Unit Circle - Sine and Cosine Functions
6.05: Graphs of the Sine and Cosine Functions
6.06: Right Triangle Trigonometry
6.07: The Other Trigonometric Functions
6.08: Graphs of the Other Trigonometric Functions
6.09: Arcs Angles and Trig Function Values
6.10: Inverse Trigonometric Functions
07: Day 7 (A Preview of Differential Calculus)
7.01: Finding Limits - Numerical and Graphical Approaches
7.02: Finding Limits - Properties of Limits
7.03: Continuity
7.04: Derivatives
08: Day 8 (A Preview of Integral Calculus)
8.01: Summation and Areas