Intermediate

Calculus 1

Learn limits, derivatives, graphing, integrals, area, volume, and arc length with a full Calculus 1 video sequence.

31 video lessonsTotal length 31Lessons 31Assessments $10.00Quiz fee

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This Calculus 1 course follows the client-provided video list. Students can register for free and watch each lesson video without paying a subscription.

Quiz and transcript rule: the lesson quizzes unlock after the one-time $10 Quiz Proctor Fee is paid for this course. Students must complete all published Calculus 1 quizzes with a score of 90% or better for the course to appear as completed on their transcript.

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This course includes

31 ordered lessons 31 video lessons of learning 31 scored quizzes 31 downloadable resources Mobile and desktop access Completion transcript setting: Paid Quiz Proctor Fee: $10.00 one time

Course content

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1. Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula Quiz

Reviews lines, slope, angle of inclination, and the distance formula as preparation for calculus.

2. Calculus 1 Lecture 0.2: Introduction to Functions Quiz

Introduces functions, notation, domain, range, inputs, outputs, and graph interpretation.

3. Calculus 1 Lecture 0.3: Review of Trigonometry and Graphing Trigonometric Functions Quiz

Reviews trigonometric functions, unit-circle values, and graphing trig behavior.

4. Calculus 1 Lecture 0.4: Combining and Composition of Functions Quiz

Covers algebra with functions, including sums, products, quotients, and composition.

5. Calculus 1 Lecture 1.1: An Introduction to Limits Quiz

Introduces limits as the value a function approaches near a point.

6. Calculus 1 Lecture 1.2: Properties of Limits and Techniques of Limit Computation Quiz

Develops limit laws and algebraic techniques for computing limits.

7. Calculus 1 Lecture 1.4: Continuity of Functions Quiz

Explains continuity and how it depends on function value, limit existence, and equality between them.

8. Calculus 1 Lecture 1.5: Slope of a Curve, Velocity, and Rates of Change Quiz

Connects slope of a curve, average velocity, instantaneous velocity, and rates of change.

9. Calculus 1 Lecture 2.1: Introduction to the Derivative of a Function Quiz

Introduces the derivative as a limit that measures instantaneous rate of change and tangent slope.

10. Calculus 1 Lecture 2.2: Techniques of Differentiation Quiz

Develops efficient differentiation rules for common functions.

11. Calculus 1 Lecture 2.3: Product and Quotient Rules for Derivatives Quiz

Explains product and quotient rules for differentiating multiplied and divided functions.

12. Calculus 1 Lecture 2.4: Applications of the Derivative Quiz

Applies derivatives to tangent lines, rates of change, and other practical interpretations.

13. Calculus 1 Lecture 2.5: Derivatives of Trigonometric Functions Quiz

Covers derivatives of sine, cosine, tangent, and other trigonometric functions.

14. Calculus 1 Lecture 2.6: The Chain Rule for Derivatives Quiz

Explains the chain rule for differentiating composite functions.

15. Calculus 1 Lecture 2.7: Implicit Differentiation Quiz

Introduces implicit differentiation when variables are mixed together in an equation.

16. Calculus 1 Lecture 2.8: Related Rates Quiz

Uses derivatives to solve related rates problems where multiple quantities change together.

17. Calculus 1 Lecture 3.1: Increasing, Decreasing, and Concavity of Functions Quiz

Uses first and second derivatives to analyze increasing, decreasing, and concavity.

18. Calculus 1 Lecture 3.2: Rolle Theorem and the Mean Value Theorem Quiz

Briefly discusses Rolle Theorem and the Mean Value Theorem.

19. Calculus 1 Lecture 3.3: The First Derivative Test Quiz

Uses the first derivative test to identify local maxima and minima.

20. Calculus 1 Lecture 3.4: The Second Derivative Test Quiz

Uses the second derivative test and concavity to classify critical points.

21. Calculus 1 Lecture 3.5: Limits of Functions at Infinity Quiz

Studies limits as x approaches infinity or negative infinity.

22. Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions Quiz

Combines intercepts, asymptotes, derivatives, and concavity to sketch graphs.

23. Calculus 1 Lecture 3.7: Optimization and Max/Min Application Problems Quiz

Solves optimization problems using derivatives to find maximum or minimum values.

24. Calculus 1 Lecture 4.1: Introduction to the Indefinite Integral Quiz

Introduces antiderivatives and indefinite integrals.

25. Calculus 1 Lecture 4.3: Area Under a Curve, Limit Approach, and Riemann Sums Quiz

Builds area under a curve using limits and Riemann sums.

26. Calculus 1 Lecture 4.4: Evaluation of Definite Integrals Quiz

Evaluates definite integrals and interprets signed area.

27. Calculus 1 Lecture 4.5: The Fundamental Theorem of Calculus Quiz

Explains the Fundamental Theorem of Calculus linking derivatives and integrals.

28. Calculus 1 Lecture 5.1: Finding Area Between Two Curves Quiz

Finds area between two curves using definite integrals.

29. Calculus 1 Lecture 5.2: Volumes by Disks and Washers Quiz

Computes volumes of solids using disk and washer cross-sections.

30. Calculus 1 Lecture 5.3: Volumes by Cylindrical Shells Quiz

Computes volumes of solids using cylindrical shells.

31. Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane Quiz

Finds arc length of a curve in the plane using an integral formula.

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Mathematics Intermediate Guided lessons Quizzes Transcript ready Downloadable resources

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