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- Monroe Community College
- MTH 155 Mathematics for Elementary Teachers I
- MTH 156 Mathematics for Elementary Teachers II
- MTH 175 Precalculus
- MTH 210 Calculus I
- 1: Functions and Graphs
- Chapter 2 Limits
- 2.0: Introduction
- 2.0E: Introduction Exercises
- 2.1: The Idea of Limits
- 2.1E The Idea of Limits
- 2.2: Limits of Functions 1
- 2.2E: Limits of Functions Exercises
- 2.3: The Limit Laws & Techniques for Computing Limits
- 2.3E: Limit Laws & Techniques for Computing Limits EXERCISES
- 2.4: Infinite Limits
- 2.4E: Infinite Limits EXERCISES
- 2.5: Limits at Infinity
- 2.5E: Limits at Infinity EXERCISES
- 2.6: Continuity
- 2.6E: Continuity EXERCISES
- 2.7: The Precise Definition of a Limit
- 2.7E: Precise Definition of Limit EXERCISES

- Chapter 3: Derivatives
- 3.0: Prelude to Derivatives
- 3.0E: Exercises
- 3.1: Definition of the Derivative
- 3.1E: Definition of the Derivative (Exercises)
- 3.5: Derivatives of Trigonometric Functions
- 3.5E: Trig Derivatives Exercises
- 3.6: Derivatives as Rates of Change
- 3.6 E: Rates of Change Exercises
- 3.7: The Chain Rule
- 3.7 E: Chain Rule Exercises
- 3.E: Both 3.3 and 3.4 Exercises

- Mo Chap 3 & professor playground

- MTH 211 Calculus II
- Chapter 5: Integration
- 5.0: Prelude to Integration
- 5.1: Approximating Areas
- 5.2: The Definite Integral
- 5.3: The Fundamental Theorem of Calculus
- 5.4: Integration Formulas and the Net Change Theorem
- 5.5: Substitution
- 5.6: Integrals Involving Exponential and Logarithmic Functions
- 5.7: Integrals Resulting in Inverse Trigonometric Functions
- 5.E: Integration (Exercises)

- Chapter 6: Applications of Integration
- Chapter 7: Techniques of Integration
- Chapter 8: Introduction to Differential Equations
- Chapter 9: Sequences and Series
- Chapter 10: Power Series
- Appendices

- Chapter 5: Integration
- MTH 212 Calculus III
- Chapter 11: Vectors and the Geometry of Space
- 11.1: Vectors in the Plane
- 11.1E: Exercises for Vectors in the Plane
- 11.2: Vectors in Space
- 11.2E: Exercises for Vectors in Space
- 11.3: The Dot Product
- 11.3E: Exercises for The Dot Product
- 11.4: The Cross Product
- 11.4E: Exercises for The Cross Product
- 11.5: Equations of Lines and Planes in Space
- 11.5E: Exercises for Equations of Lines and Planes in Space
- 11.6: Quadric Surfaces
- 11.6E: Exercises for Quadric Surfaces
- 11.7: Cylindrical and Spherical Coordinates
- 11.7E: Exercises for Cylindrical and Spherical Coordinates
- Chapter 11 Review Exercises

- Chapter 12: Vector-valued Functions
- 12.1: Vector-Valued Functions and Space Curves
- 12.1E: Exercises for Section 12.1
- 12.2: The Calculus of Vector-Valued Functions
- 12.2E: Exercises for Section 12.2
- 12.3: Motion in Space
- 12.3E: Exercises for Section 12.3
- 12.4: Arc Length and Curvature
- 12.4E: Exercises for Section 12.4
- 12.5: Acceleration and Kepler's Laws
- 12.5E: Exercises for Section 12.5
- 12.E: Chapter 12 Review Exercises

- Chapter 13: Functions of Multiple Variables and Partial Derivatives
- 13.0: Introduction to Functions of Multiple Variables
- 13.1: Functions of Multiple Variables
- 13.1E: Functions of Multiple Variables (Exercises)
- 13.2: Limits and Continuity
- 13.3: Partial Derivatives
- 13.3E: Partial Derivatives (Exercises)
- 13.4: Tangent Planes, Linear Approximations, and the Total Differential
- 13.4E: Tangent Planes, Linear Approximations, and the Total Differential (Exercises)
- 13.5: The Chain Rule for Functions of Multiple Variables
- 13.5E: The Chain Rule for Functions of Multiple Variables (Exercises)
- 13.6: Directional Derivatives and the Gradient
- 13.6E: Directional Derivatives and the Gradient (Exercises)
- 13.7: Taylor Polynomials of Functions of Two Variables
- 13.8: Optimization of Functions of Several Variables
- 13.8E: Optimization of Functions of Several Variables (Exercises)
- 13.9: Constrained Optimization
- 13.10: Lagrange Multipliers

- Chapter 14: Multiple Integration
- 14.1: Double Integrals Over Rectangular Regions
- 14.2: Double Integrals Over General Regions
- 14.3: Double Integrals in Polar Coordinates
- 14.4: Triple Integrals
- 14.5: Triple Integrals in Cylindrical and Spherical Coordinates
- 14.6: Calculating Centers of Mass and Moments of Inertia
- 14.7: Change of Variables in Multiple Integrals (Jacobians)
- 14E: Exercises for Chapter 14

- Chapter 15: Vector Fields, Line Integrals, and Vector Theorems

- Chapter 11: Vectors and the Geometry of Space

- Mount Royal University
- MATH 1150: Mathematical Reasoning
- Preface
- 1: Basic Language of Mathematics
- 2: Basic Concepts of Sets
- 3: Number Patterns
- 4: Basic Concepts of Euclidean Geometry
- 5: Basic Concepts of Probability
- 6: Introduction to Statistics
- 6.1: Qualitative Data and Quantitative Data
- 6.2: Descriptive Statitics:Measures of Center, Measures of Variation and the Five -Number Summary
- 6.3: Introduction to Statistical Calculations using Microsoft EXCEL
- 6.4: Binomial distribution and Normal Distribution
- 6.E: Introduction to Statistics (Exercises)

- 7: Dimensional Analysis
- Projects

- MATH 1200: Calculus for Scientists I
- Preface
- 0: Introduction
- 1: Limit and Continuity of Functions
- 1.0: Introduction to concept of a limit
- 1.1: One sided Limits and Vertical Asymptotes
- 1.2: Limit calculations for algebraic expressions
- 1.3: Limits at Infinity and Horizontal Asymptotes
- 1.4: Formal Definition of a Limit (optional)
- 1.5: Continuity and the Intermediate Value Theorem
- 1.6: Limit of Trigonometric functions
- 1.7: Limits and continuity of Inverse Trigonometric functions
- 1.8: Limit of Exponential Functions and Logarithmic Functions
- Chapter 1 Review Exercises

- 2: Derivatives I
- 3: Derivatives II
- 4: Applications of derivative
- 5 Integral Calculus
- Mock Exams (Celebration of Learning)

- MATH 2150: Higher Arithmetic
- 0: Preface
- MATH 2200: Calculus for Scientists II
- MATH 3200: Mathematical Methods
- FK Draft

- MATH 1150: Mathematical Reasoning
- University of California, Davis
- UCD Mat 21A: Differential Calculus
- 1: Functions
- 2: Limits and Continuity
- 3: Differentiation
- 3.1: Tangents and the Derivative at a Point
- 3.2: The Derivative as a Function
- 3.3: Differentiation Rules
- 3.4: The Derivative as a Rate of Change
- 3.5: Derivatives of Trigonometric Functions
- 3.6: The Chain Rule
- 3.7: Implicit Differentiation
- 3.8: Derivatives of Inverse Functions and Logarithms
- 3.9: Inverse Trigonometric Functions
- 3.10: Related Rates
- 3.11: Linearization and Differentials

- 4: Applications of Definite Integrals

- UCD Mat 21B: Integral Calculus
- 5: Integration
- 6: Applications of Definite Integrals
- 7: Integrals and Transcendental Functions
- 8: Techniques of Integration
- 9: Infinite Sequence and Series
- 9.10: The Binomial Series and Applications of Taylor Series
- 9.1: Sequences
- 9.2: Infinite Series
- 9.3: The Integral Test
- 9.4: Comparison Tests
- 9.5: The Ratio and Root Tests
- 9.6: Alternating Series, Absolute and Conditional Convergence
- 9.7: Power Series
- 9.8: Taylor and Maclaurin Series
- 9.9: Convergence of Taylor Series

- UCD Mat 21C: Multivariate Calculus
- UCD Mat 21D: Vector Analysis
- Multiple Integrals
- 15.1: Double and Iterated Integrals over Rectangles
- 15.2: Double Integrals over General Regions
- 15.3: Area by Double Integration
- 15.4: Double Integrals in Polar Form
- 15.5: Triple Integrals in Rectangular Coordinates
- 15.6: Moments and Centers of Mass
- 15.7: Triple Integrals in Cylindrical and Spherical Coordinates
- 15.8: Substitutions in Multiple Integrals

- Vector-Valued Functions and Motion in Space
- Integration in Vector Fields
- 16.1: Line Integrals
- 16.2: Vector Fields and Line Integrals: Work, Circulation, and Flux
- 16.3: Path Independence, Conservative Fields, and Potential Functions
- 16.4: Green's Theorem in the Plane
- 16.5: Surfaces and Area
- 16.6: Surface Integrals
- 16.7: Stokes' Theorem
- 16.8: The Divergence Theorem and a Unified Theory

- Multiple Integrals
- UCD Mat 67: Linear Algebra
- UCD MAT 235A: Probability Theory
- Notes
- 01 Introduction
- 02 Probability spaces
- 03 Random variables
- 04 Random vectors and independence
- 05 The Borel-Cantelli Lemmas
- 06 A brief excursion into measure theory
- 07 Expected values
- 08 Special distributions and their properties
- 9: Laws of Large Numbers
- 10 Applications and further examples
- 11 The Central Limit Theorem, Stirling's formula and the de Moivre-Laplace theorem
- 12 Convergence in distribution
- 13 Characteristic functions
- 14 Central limit theorems
- 15 Random number generation

- Notes
- UCD MAT 280: Macdonald Polynomials and Crystal Bases

- UCD Mat 21A: Differential Calculus

Mon, 10 Sep 2018 17:14:44 GMT

Course LibreTexts

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Here are custom designed online **Libretexts **that are developed for individual instructors/classes and schools. The MathWiki maintains all **Modules **(pages of chemistry information) in the primary sections collectively referred to as the **Core**; the LibreTexts below contain only class organization, which may or may not be reproduced in the organization of the core.