Mathematics Department Course Hub

Category: Lessons (Page 2 of 4)

Lesson 15: Applications of exponential and logarithmic functions

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 15: Applications of exponential and logarithmic functions

Topic. This lesson covers Session X: lessontopic

Learning Outcomes.

  • LearningOutcome1

WeBWorK. There are X WeBWorK assignments on today’s material:

  1. Functions – Function Notation

Lesson Notes. Coming Soon

Additional Video Resources.

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Lesson 14. Properties of exponents and logarithms

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 14. Properties of exponents and logarithms

Topic. This lesson covers Session X: lessontopic

Learning Outcomes.

  • LearningOutcome1

WeBWorK. There are X WeBWorK assignments on today’s material:

  1. Functions – Function Notation

Lesson Notes. Coming Soon

Additional Video Resources.

Continue reading

Lesson 13: Exponential and logarithmic functions

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 13: Exponential and logarithmic functions

Topic. This lesson covers Chapter 13: Exponential and Logarithmic Functions.

Learning Outcomes.

  • Graph basic exponential and logarithmic functions.
  • Understand the definition of logarithms and their connection to exponents.
  • Make connections between algebraic and graphical properties of exponential and logarithmic functions.

WeBWorK. There are two WeBWorK assignments on today’s material:

  1. Exponential Functions – Graphs
  2. Logarithmic Functions – Graphs

Lesson Notes (pdf):

Additional Video Resources.

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Lesson 8: Dividing polynomials

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 8: Dividing polynomials

Topic. This lesson covers Session 8: Dividing polynomials

Learning Outcomes.

  • Use the long division algorithm to divide two polynomials, determining the quotient and remainder,
  • Understand the connection between long division, factors, and roots, and use this connection to solve problems.

WeBWorK. There is one WeBWorK assignments on today’s material:

  1. Polynomials – Division

Additional Video Resources.

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Lesson 12: Polynomial and rational inequalities

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 12: Polynomial and rational inequalities

Topic. This lesson covers Chapter 12: Polynomial and Rational Inequalities

Learning Outcomes.

  • Solve polynomial inequalities by graphing and algebraically.
  • Solve rational inequalities algebraically.

WeBWorK. There are 2 WeBWorK assignments on today’s material:

  1. Polynomials – Inequalities
  2. Rational Functions – Inequalities

Lesson Notes (pdf):

Additional Video Resources.

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Lesson 11: Rational functions

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 11: Rational functions

Topic. This lesson covers Session 11: Rational functions

Learning Outcomes.

  • LearningOutcome1

WeBWorK. There are three WeBWorK assignments on today’s material:

  1. Rational Functions – Domains
  2. Rational Functions – Intercepts
  3. Rational Functions – Asymptotes

Additional Video Resources.

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Lesson 10: Roots of polynomials

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 10: Roots of polynomials

Topic. This lesson covers Session 10: Roots of polynomials

Learning Outcomes.

  • Understand the relationship between factors and roots of polynomials as described in the Fundamental Theorem of Algebra, and apply it to solve problems.
  • Understand the hypotheses and conclusions of the Rational Roots Theorem, and apply it to solve problems.

WeBWorK. There are two WeBWorK assignments on today’s material:

  1. Polynomials – Theory
  2. Polynomials – Rational Roots

Additional Video Resources.

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Lesson 9: Graphing polynomials

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 9: Graphing polynomials

Topic. This lesson covers Session 9: Graphing polynomials

Learning Outcomes.

  • Make connections between geometric features of polynomials (roots, extrema, end behavior) and corresponding algebraic features (factors, coefficients, etc).
  • Translate between graphs, formulas, and natural language descriptions of polynomials.

WeBWorK. There is one WeBWorK assignment on today’s material:

  1. Polynomials – Graphs

Additional Video Resources.

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Lesson 7: The inverse of a function

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 7: The inverse of a function

Topic. This lesson covers Session 7: The inverse of a function

Learning Outcomes.

  • Identify one-to-one functions and understand the connection to inverse functions.
  • Form connections between the definition of inverse functions, the notation of inverse functions, and the application of inverse functions.
  • Find the inverse of a function graphically and algebraically.

WeBWorK. There is one WeBWorK assignment on today’s material:

  1. Functions – Inverse Functions

Additional Video Resources.

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