Building Toward Calculus

Mathematics

Tác giả: Martin Romero and Justin Tolentino
Nhà xuất bản: Santa Ana College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 161 mục

01: Relating Changing Quantities
1.01: Introduction to Functions (FN1)
1.1.01: Functions (FN1)
1.1.1.01: FN1 Online Exercises
1.1.02: FN1 FAQ and Resources
1.02: Introduction to Function Notation (FN2) and Characteristics of a Function's Graph (FN3)
1.2.01: Function Notation (FN2)
1.2.1.01: FN2 Online Exercises
1.2.02: Characteristics of a Function's Graph (FN3)
1.2.2.01: FN3 Online Exercises
1.2.03: FN2 FN3 FAQ and Resources
1.03: Introduction to Slope and Average Rate of Change (LF1)
1.3.01: Slope and Average Rate of Change (LF1)
1.3.1.01: LF1 Online Exercises
1.3.02: LF1 FAQ and Resources
1.04: Introduction to Equations of Lines (LF2) Graphs of Linear Equations (LF3) and Linear Models and Meanings (LF5)
1.4.01: Equations of Lines (LF2)
1.4.1.01: LF2 Online Exercises
1.4.02: Graphs of Linear Equations (LF3)
1.4.2.01: LF3 Online Exercises
1.4.03: Linear Models and Meanings (LF5)
1.4.3.01: LF5 Online Exercises
1.4.04: LF2 LF3 LF5 FAQ and Resources
1.05: Introduction to Graphing Quadratic Functions (PR1) and Quadratic Models and Meaning (PR2)
1.5.01: Graphing Quadratic Functions (PR1)
1.5.1.01: PR1 Online Exercises
1.5.02: Quadratic Models and Meanings (PR2)
1.5.2.01: PR2 Online Exercises
1.5.03: PR1 PR2 FAQ and Resources
1.06: Introduction to Combining and Composing Functions (FN5)
1.6.01: Combining and Composing Functions (FN5)
1.6.1.01: FN5 Online Exercises
1.6.02: FN5 FAQ and Resources
1.07: Introduction to Finding the Inverse Function (FN6)
1.7.01: Finding the Inverse Function (FN6)
1.7.1.01: FN6 Online Exercises
1.7.02: FN6 FAQ and Resources
1.08: Introduction to Transformations of Functions (FN4)
1.8.01: Transformations of Functions (FN4)
1.8.1.01: FN4 Online Exercises
1.8.02: FN4 FAQ and Resources
02: Circular Functions
2.01: Introduction to Degree and Radian Measure Angle Position and Arc Length (TR1 TR2)
2.1.01: Degree and Radian Measure (TR1)
2.1.1.01: TR1 Online Exercises
2.1.02: Angle Position and Arc Length (TR2)
2.1.2.01: TR2 Online Exercises
2.1.03: TR1 FAQ and Resources
2.1.04: TR2 FAQ and Resources
2.02: Introduction to The Unit Circle (TR 5)
2.2.01: The Unit Circle (TR 5)
2.2.1.01: TR5 Online Exercises
2.2.02: TR5 FAQ and Resources
2.03: Introduction to Properties of Sine and Cosine Graphs (PF1)
2.3.01: Properties of Sine and Cosine Graphs (PF1)
2.3.1.01: PF1 Online Exercises
2.3.02: PF1 FAQ and Resources
03: Continuous Growth with Exponential and Logarithmic Functions
3.01: Introduction to Exponentials (EL1)
3.1.01: Exponentials (EL1)
3.1.1.01: EL1 Online Exercises
3.1.02: EL1 FAQ and Resources
3.02: Introduction to Graphs of Exponential Functions (EL2)
3.2.01: Graphs of Exponential Functions (EL2)
3.2.1.01: EL2 Online Exercises
3.2.02: EL2 FAQ and Resources
3.03: Introduction to Logarithms (EL3)
3.3.01: Logarithms (EL3)
3.3.1.01: EL3 Online Exercises
3.3.02: EL3 FAQ and Resources
3.04: Introduction to Graphs of Logarithmic Functions (EL4)
3.4.01: Graphs of Logarithmic Functions (EL4)
3.4.1.01: EL4 Online Exercises
3.4.02: EL4 FAQ and Resources
3.05: Introduction to Properties and Applications of Logarithms (EL5 and EL6)
3.5.01: Properties of Logarithms
3.5.1.01: EL5 Online Exercises
3.5.02: Solving Exponential and Logarithmic Equations
3.5.2.01: EL6 Online Exercises
3.5.03: EL5 and EL6 FAQ and Resources
3.06: Modeling with Exponential and Logarithmic Functions (EL7)
3.6.01: Modeling with Exponential and Logarithmic Functions (EL7)
3.6.1.01: EL7 Online Exercises
3.6.02: EL7 FAQ and Resources
04: Trigonometry and Triangles in Motion
4.01: Introduction to Additional Trigonometric Functions (PF2)
4.1.01: Additional Trigonometric Functions (PF2)
4.1.1.01: PF2 Online Exercises
4.1.1.02: PF2 FAQ and Resources
4.02: Introduction to Inverse Trig Functions (PF3)
4.2.01: Inverse Trig Functions (PF3)
4.2.1.01: PF3 Online Exercises
4.2.1.02: PF3 FAQ and Resources
4.03: Introduction to Solving Triangles (TE4 TE5 TE6)
4.3.01: Solving Right Triangles (TE4)
4.3.1.01: TE4 Online Exercises
4.3.02: Trigonometric Laws (TE5)
4.3.2.01: TE Online Exercises
4.3.03: Applications of Trig (TE6)
4.3.3.01: TE6 Online Exercises
4.3.04: TE4 FAQ and Resources
4.3.05: TE5 FAQ and Resources
4.3.06: TE6 FAQ and Resources
4.04: Introduction to Other Trig and Identities (TE1 TE2 TE3)
4.4.01: Trigonometric Identities (TE1)
4.4.1.01: TE1 Online Exercises
4.4.02: Verifying Identities (TE2)
4.4.2.01: TE2 Online Exercises
4.4.03: Trigonometric Equations (TE3)
4.4.3.01: TE3 Online Exercises
4.4.04: TE1 FAQ and Resources
4.4.05: TE2 FAQ and Resources
4.4.06: TE3 FAQ and Resources
05: Polynomial and Rational Functions
5.01: Introduction to Graphs of Polynomial Functions (PR3)
5.1.01: Graphs of Polynomial Functions (PR3)
5.1.1.01: PR3 Online Exercises
5.1.02: PR3 FAQ and Resources
5.02: Analyzing Polynomial Functions and Their Zeros (PR4 and PR5)
5.2.01: Polynomial Long Division (PR4)
5.2.1.01: PR4 Online Exercises
5.2.02: Zeros of a Polynomial Functions (PR5)
5.2.2.01: PR5 Online Exercises
5.2.03: PR4 and PR5 FAQ and Resources
5.03: Analyzing Rational Functions (PR6 and PR7)
5.3.01: Rational Equations (PR6)
5.3.1.01: PR6 Online Exercises
5.3.02: Graphs of Rational Functions (PR7)
5.3.2.01: PR7 Online Exercises
5.3.03: PR6 FAQ and Resources
5.3.04: PR7 FAQ and Resources
5.04: Introduction to Quadratic Inequalities (PR8)
5.4.01: Quadratic Inequalities (PR8)
5.4.1.01: PR8 Online Exercises
5.4.02: PR8 FAQ and Resources
5.05: Introduction to Rational Inequalities (PR9)
5.5.01: Rational Inequalities (PR9)
5.5.1.01: PR9 Online Exercises
5.5.02: PR9 FAQ and Resources
06: Foundational Fluency
6.01: Foundational Skill Linear Equations EQ1
6.02: Foundational Skill Linear Applications EQ2
6.03: Foundational Skill Distance and Midpoint EQ3
6.04: Foundational Skill Absolute Value Equations EQ4
6.05: Foundational Skill Quadratic Equations EQ5
6.06: Foundational Skill Linear Systems LF6
6.07: Foundational Trig Ratios Skill TR3
6.08: Foundational Skill Special Right Triangles TR4
6.09: Foundational Skill Similar Triangles (ST)
6.10: Foundational Skill Exponents (EX)
6.11: Foundational Skill Algebraic Fractions (AF)
6.12: Foundational Skill EQ3 Advanced Math (AM)
6.13: Introduction to Right Triangles
6.13.01: Trigonometric Ratios (TR3)
6.13.1.01: TR3 Online Exercises
6.13.02: Special Right Triangles (TR4)
6.13.2.01: TR4 Online Exercises
07: HOT (Higher Order Thinking) Exercises
7.01: HOT Chapter 1
08: Course Resources
8.01: Online Exercises (Full Course)