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- Borough of Manhattan Community College
- 1.1E: Exercises
- 2.2: Graphs of Linear Functions
- MAT 206 Precalculus
- 0: Review - Linear Equations in 2 Variables
- 1: Functions
- 1.0: Prelude to Functions
- 1.0E: Exercises
- 1.1: Functions and Function Notation
- 1.1E: Exercises
- 1.2: Domain and Range
- 1.2E: Exercises
- 1.3: Rates of Change and Behavior of Graphs
- 1.3E: Exercises
- 1.4: Composition of Functions
- 1.4E: Exercises
- 1.5: Transformation of Functions
- 1.5E: Exercises
- 1.6: Absolute Value Functions
- 1.6E: Exercises
- 1.7: Inverse Functions
- 1.7E: Exercises

- 3: Polynomial and Rational Functions
- 3.0: Prelude to Polynomial and Rational Functions
- 3.0E: Exercises
- 3.1: Complex Numbers
- 3.1E: Exercises
- 3.2: Quadratic Functions
- 3.2E: Exercises
- 3.3: Power Functions and Polynomial Functions
- 3.3E: Exercises
- 3.4: Graphs of Polynomial Functions
- 3.4E: Exercises
- 3.6: Zeros of Polynomial Functions
- 3.6E: Exercises
- 3.7: Rational Functions
- 3.7E: Exercises
- 3.8: Inverses and Radical Functions
- 3.8E: Exercises

- 4: Exponential and Logarithmic Functions

- Diablo Valley College
- Monroe Community College
- MTH 155 Mathematics for Elementary Teachers I
- MTH 156 Mathematics for Elementary Teachers II
- MTH 175 Precalculus (placeholder)
- MTH 210 Calculus I
- 1: Review: 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
- 2.2E: Limits of Functions Exercises
- 2.3: Limit Laws & Techniques for Computing Limits
- 2.3E: Limit Laws and 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
- NEW 2.3E: Limit Laws & Techniques 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)
- 3.2: The Derivative as a Function
- 3.2E: Derivative as a Function Exercises
- 3.3: (and 3.4) Differentiation Rules
- 3.3E: Both 3.3 and 3.4 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
- 3.8: Implicit Differentiation
- 3.8 E: Implicit Differentiation Exercises
- 3.9: Derivatives of Ln, General Exponential & Log Functions; and Logarithmic Differentiation
- 3.9 E: Derivatives Ln, etc. Exercises
- 3. 10: Derivatives of Inverse Trig Functions
- section 3. 10 E: Inverse Trig Derivatives Exercises

- Chapter 4: Applications of Derivatives
- 4.0: Prelude to Applications of Derivatives
- 4.0E: Exercises
- 4.1: Related Rates
- 4.1E: Related Rates Exercises
- 4.2: Maxima and Minima
- 4.2E: Maxima and Minima Exercises
- 4.3: Derivatives and the Shape of a Graph
- 4.3E: Shape of the Graph Exercises
- 4.4: Graphing
- 4.4 E: Sketch the GRAPH Exercises - still to be modified
- 4.5: Optimization Problems
- 4.5 E: Optimization Exercises
- 4.6: Linear Approximations and Differentials
- 4.7: The Mean Value Theorem
- 4.8: Antiderivatives
- 4.8E: AntiDerivative & Indefinite Integral Exercises

- Chapter 5: Integration
- 5.0: Prelude to Integration
- 5.0E: Exercises
- 5.1: Approximating Areas
- 5.1 Approximating Area (Riemann Sum) Exercises
- 5.2: The Definite Integral
- 5.2 E: Definite Integral Intro Exercises
- 5.3: The Fundamental Theorem of Calculus Basics
- 5.3 E: FTOC Exercises
- 5.4: Average Value of a Function
- 5.4E: Average Value of a Function Exercises
- 5.5: U-Substitution
- 5.5E & 5.6E U-Substitution Exercises
- 5.6: More U-Substitution - Exponential and Logarithmic Functions
- 5.6 Notes
- 5.7: Net Change
- 5.7E: Net Change Exercises
- Xtra full 5.3: includes Proof of The Fundamental Theorem of Calculus

- professor playground
- 2.3: The Limit Laws
- 2.E: Limits (Exercises)
- 3.2: The Derivative as a Function
- 3.3: Differentiation Rules
- 3.4: Product & Quotient Rules
- 3.9: Derivatives of Exponential and Logarithmic Functions
- 3.E: Derivatives (ALL Chapter 3 Exercises)
- 4.6: Limits at Infinity and Asymptotes
- 4.E: Applications of Derivatives (ALL Chap 4 Exercises)
- 4.E: Open Stax 4.1 - 4.5 Exercises
- 5.2: originalThe Definite Integral
- 5.3: original The Fundamental Theorem of Calculus
- 5.4: Original Integration Formulas and the Net Change Theorem
- 5.E: Integration (Exercises)

- MTH 211 Calculus II
- Calculus I Review
- Chapter 5: Integration
- 4.8: Antiderivatives
- 4.8E: Antiderivative and Indefinite Integral Exercises
- 5.0: Prelude to Integration
- 5.1: Approximating Areas
- 5.1E: Approximating Areas (Exercises)
- 5.2: The Definite Integral
- 5.3: The Fundamental Theorem of Calculus
- 5.4: Integration Formulas and the Net Change Theorem
- 5.5: Substitution
- 5.5E and 5.6E U-Substitution Exercises
- 5.6: Integrals Involving Exponential and Logarithmic Functions
- 5.7: Integrals Resulting in Inverse Trigonometric Functions and Related Integration Techniques
- 5.7E: Exercises for Integrals Resulting in Inverse Trigonometric Functions
- 5.E: Integration (Exercises)
- Chapter 5 Exercises

- Chapter 6: Applications of Integration
- 6.0: Prelude to Applications of Integration
- 6.1: Areas between Curves
- 6.1E: Exercises for Section 6.1
- 6.2: Determining Volumes by Slicing
- 6.2E: Exercises for Volumes of Common Cross-Section and Disk/Washer Method
- 6.3: Volumes of Revolution: The Shell Method
- 6.3E: Exercises for the Shell Method
- 6.4: Arc Length and Surface Area
- 6.5: Using Integration to Determine Work
- 6.5b: More Physical Applications of Integration
- 6.5E: Exercises on Work
- 6.6: Moments and Centers of Mass
- 6.7: Integrals, Exponential Functions, and Logarithms
- 6.8: Exponential Growth and Decay
- 6.9: Calculus of the Hyperbolic Functions
- 6.E: Applications of Integration (Exercises)

- Chapter 7: Techniques of Integration
- 7.0: Prelude to Techniques of Integration
- 7.1: Integration by Parts
- 7.1E: Exercises for Integration by Parts
- 7.2: Trigonometric Integrals
- 7.2E: Exercises for Trigonometric Integrals
- 7.3: Trigonometric Substitution
- 7.3E: Exercises for Trigonometric Substitution
- 7.4: Partial Fractions
- 7.4E: Exercises for Integration by Partial Fractions
- 7.5: Other Strategies for Integration
- 7.6: Numerical Integration
- 7.7: L'Hôpital's Rule
- 7.8: Improper Integrals
- 7.E: Techniques of Integration (Exercises)

- Chapter 8: Introduction to Differential Equations
- 8.0: Prelude to Differential Equations
- 8.1: Basics of Differential Equations
- 8.1E: Exercises for Basics of Differential Equations
- 8.2: Direction Fields and Numerical Methods
- 8.2E: Exercises for Direction Fields and Numerical Methods
- 8.3: Separable Differential Equations
- 8.3E: Exercises for Separable Differential Equations
- 8.4: The Logistic Equation
- 8.4E: Exercises for the Logistic Equation
- 8.5: First-order Linear Equations
- 8.E: Introduction to Differential Equations (Exercises)

- Chapter 9: Sequences and Series
- Chapter 10: Power Series
- Appendices

- 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
- 13.2E: Exercises for 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
- 13.7E: Taylor Polynomials if Functions of Two Variables (Exercises)
- 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
- 13.10E: Exercises for Lagrange Multipliers

- Chapter 14: Multiple Integration
- 14.1: Iterated Integrals and Area
- 14.1E: Iterated Integrals and Area (Exercises)
- 14.2a: Double Integrals Over Rectangular Regions
- 14.2aE: Double Integrals Part 1 (Exercises)
- 14.2b: Double Integrals Over General Regions
- 14.2bE: Double Integrals Part 2 (Exercises)
- 14.3: Double Integration with Polar Coordinates
- 14.3b: Double Integrals in Polar Coordinates
- 14.3E: Double Integrals in Polar Coordinates (Exercises)
- 14.4: Triple Integrals
- 14.4E: Triple Integrals (Exercises)
- 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
- 15.0: Introduction to Vector Field Chapter
- 15.1: Vector Fields
- 15.1E: Vector Fields (Exercises)
- 15.2: Line Integrals
- 15.2E: Line Integrals (Exercises)
- 15.3: Conservative Vector Fields
- 15.4: Green's Theorem
- 15.5: Divergence and Curl
- 15.6: Surface Integrals
- 15.7: Stokes' Theorem
- 15.8: The Divergence Theorem
- 15E: Vector Calculus (Exercises)

- Appendices

- 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
- Suggested readings

- MATH 2150: Higher Arithmetic
- Preface
- 0: Preliminaries
- 1 Binary operations
- 2 Binary relations
- 3 Modular Arithmetic
- 4 Greatest Common Divisor, least common multiple and Euclidean Algorithm
- 5 Diophantine Equations
- 6 Prime numbers
- 7 Number Bases
- 8 Number systems
- 9 Rational numbers, Irrational Numbers, and Continued fractions
- Notations
- Mock exams

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

- 2: Derivatives
- 2.0: Tangent lines and Rates of change
- 2.1: Derivative as a Function
- 2.2: Techniques of differentiation
- 2.3: Derivative as a rate of Change
- 2.4: Derivatives of Trigonometric functions
- 2.5: Chain Rule
- 2.6: Implicit Differentiation
- 2.7: Derivatives of Inverse Trigonometric Functions
- 2.8: Derivatives of Exponential and Logarithmic functions
- 2.9: L'Hôpital's Rule
- 2E Exercises

- 3: Applications of Derivatives
- 3.0 Introduction to applications of Derivative
- 3.1: Related Rates
- 3.2 Linear approximations and Differentials
- 3.3: Extremas
- 3.4 The Mean Value Theorem
- 3.5 Derivative tests
- 3.6 Applied Optimization Problems
- 3.7 Curve skectching
- 3.8: Newton's Method
- 3.9 Anti derivatives and Rectilinear Motion
- 3E Chapter Exercises

- 4 Integral Calculus
- 4.0 Antidervatives and Indefinite Integration (Revisited)
- 4.1 Integration by Substitution
- 4.2 Definite Integral- An Introduction
- 4.3 Approximating Areas
- 4.4 The Definite Integral
- 4.5 : The Fundamental Theorem of Calculus
- 4.6 Integration Formulas and the Net Change Theorem
- 4.7 Definite integrals by substitution.
- 4.8 Area between two curves
- 4.9 Applications of definite integrals
- 4E Exercises

- Mock Exams (Celebration of Learning)
- Additional Resources

- MATH 2200: Calculus for Scientists II
- Preface
- 1: Applications of Integration
- 2: Techniques of Integration
- 3 Introduction to Differential Equations
- 3.1: Some Applications Leading to Differential Equation
- 3.2: Basic Concepts
- 3.3: First order linear equations
- 3.4: Direction Fields for First Order Equations
- 3.5: Separable Differential Equations
- 3.6 : Existence and Uniqueness of Solutions of Nonlinear Equations
- 3.7: First Order Equations: Transformation of Nonlinear Equations into Separable Equations

- 4 Parametric Equations and Polar Coordinates
- 5 Vector Spaces
- 6 Mulitvariable Calculus
- 7: Multiple Integration
- 7.1 Double Integrals over Rectangular Regions
- 7.2: Double Integrals over General Regions
- 7.3: Double Integrals in Polar Coordinates
- 7.4: Triple Integrals
- 7.5: Triple Integrals in Cylindrical and Spherical Coordinates
- 7.6: Calculating Centers of Mass and Moments of Inertia
- 7.7: Change of Variables in Multiple Integrals

- 8: Sequences and Series

- MATH 3200: Mathematical Methods
- 1: Power Series
- 2: Ordinary differential equations
- 3: Series Solutions of Linear Second order Equations
- 4: Linear Systems of Ordinary Differential Equations (LSODE)
- 4.1: Introduction to Systems of Differential Equations
- 4.2: Linear Systems of Differential Equations
- 4.3: Basic Theory of Homogeneous Linear System
- 4.4: Constant Coefficient Homogeneous Systems I
- 4.5: Constant Coefficient Homogeneous Systems II
- 4.6: Constant Coefficient Homogeneous Systems III
- 4.7: Variation of Parameters for Nonhomogeneous Linear Systems

- 5: Vector-Valued Functions
- 6: Differentiation of Functions of Several Variables
- 7: Multiple Integration
- 7.1 :Double Integrals over Rectangular Regions
- 7.2: Double Integrals over General Regions
- 7.3: Double Integrals in Polar Coordinates
- 7.4: Triple Integrals
- 7.5: Triple Integrals in Cylindrical and Spherical Coordinates
- 7.6: Calculating Centers of Mass and Moments of Inertia
- 7.7: Change of Variables in Multiple Integrals

- 8: Partial Differential Equations
- 9: Vector Calculus
- Summary Tables

- Mathematics Activities: Instructions and instructional videos for Elementary education
- Calculus Projects
- FK Draft-testing

- MATH 1150: Mathematical Reasoning
- Saint Mary's College, Notre Dame, IN
- Truckee Meadows Community College
- University of Arkansas Little Rock
- 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

Campus Courses

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