Math 125: Hope College

This course covers the material typically taught in the first half of a Calculus I course. The calculus material is supplemented by reviewing topics of high school mathematics as needed. The calculus topics are also taught at a slower pace. Topics include function review, limits and continuity, the concept (and definition) of a derivative, and differentiation rules (product rule, quotient rule, chain rule are included).

Mathematics

Tác giả: Katharine Vance
Nhà xuất bản: Hope College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 40 mục

01: Algebra Essentials
1.01: Real Numbers - Algebra Essentials
1.02: Exponents and Scientific Notation
1.03: Radicals and Rational Expressions
1.04: Polynomials
1.05: Factoring Polynomials
1.06: Rational Expressions
1.07: The Rectangular Coordinate Systems and Graphs
1.08: Linear Equations in One Variable
1.09: Quadratic Equations
1.10: Other Types of Equations
02: Function Essentials
2.01: Functions and Function Notation
2.02: Domain and Range
2.03: Rates of Change and Behavior of Graphs
2.04: Transformation of Functions
03: Derivative Essentials
3.01: How do we Measure Velocity
3.02: The Notion of Limit
3.03: The Derivative of a Function at a Point
3.04: The Derivative Function
3.05: Limits Continuity and Differentiability
3.06: The Mean Value Theorem
04: Applications of the Derivative
4.01: Interpretating Estimating and Using the Derivative
4.02: The Second Derivative
4.03: The Tangent Line Approximation
4.04: Elementary Derivative Rules
05: Trigonometry Essentials
5.01: Angles
5.02: Right Triangle Trigonometry
5.03: Unit Circle
5.04: The Other Trigonometric Functions
5.05: Graphs of the Sine and Cosine Functions
06: Differentiation Rules and Applications
6.01: The Sine and Cosine Function
6.02: The Product and Quotient Rules
6.03: Derivatives of Other Trigonometric Functions
6.04: The Chain Rule
6.05: Derivatives of Functions Given Implicitely