The Trial Blending Space is for evaluation purposes only.
This comprehensive course contains 6 sections with 51 self-grading lessons, including final assessments. The first section is available to try for free.
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Calculate the slope of a linear function and interpret its meaning.Recognize the degree of a polynomial.Find the roots of a quadratic polynomial.Describe the graphs of basic odd and even polynomial functions.Identify a rational function.Describe the graphs of power and root functions.Explain the difference between algebraic and transcendental functions.Graph a piecewise-defined function.Sketch the graph of a function that has been shifted, stretched, or reflected from its initial graph position.
1.3. Trigonometric Functions1.4. Inverse Functions1.5. Exponential and Logarithmic Functions
This is the final assessment for Functions and Graphs. (Available when you subscribe.)
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The full course includes all 51 lessons, including 6 Final Assessments with Instructor Answer Keys.
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2.1. A Preview of Calculus2.2. The Limit of a Function2.3. The Limit Laws2.4. Continuity2.5. The Precise Definition of a LimitFinal Assessment
3.1. Defining the Derivative3.2. The Derivative as a Function3.3. Differentiation Rules3.4. Derivatives as Rates of Change3.5. Derivatives of Trigonometric Functions3.6. The Chain Rule3.7. Derivatives of Inverse Functions3.8. Implicit Differentiation3.9. Derivatives of Exponential and Logarithmic FunctionsFinal Assessment
4.1. Related Rates4.2. Linear Approximations and Differentials4.3. Maxima and Minima4.4. The Mean Value Theorem4.5. Derivatives and the Shape of a Graph4.6. Limits at Infinity and Asymptotes4.7. Applied Optimization Problems4.8. L’Hôpital’s Rule4.9. Newton’s Method4.10. AntiderivativesFinal Assessment
5.1. Approximating Areas5.2. The Definite Integral5.3. The Fundamental Theorem of Calculus5.4. Integration Formulas and the Net Change Theorem5.5. Substitution5.6. Integrals Involving Exponential and Logarithmic Functions5.7. Integrals Resulting in Inverse Trigonometric FunctionsFinal Assessment
6.1. Areas between Curves6.2. Determining Volumes by Slicing6.3. Volumes of Revolution: Cylindrical Shells6.4. Arc Length of a Curve and Surface Area6.5. Physical Applications6.6. Moments and Centers of Mass6.7. Integrals, Exponential Functions, and Logarithms6.8. Exponential Growth and Decay6.9. Calculus of the Hyperbolic FunctionsFinal Assessment
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