Free online courseCalculus 1 lectures

Conteúdo do Curso

• Video class: Calculus 1: Lecture 1.2 Finding Limits Graphically and Numerically

  0h35m

• Exercise: What is the definition of a limit in calculus?

• Video class: Calculus 1: Lecture 1.4 Continuity and One-Sided Limits

  1h25m

• Exercise: What does it mean for a function to be continuous at a point C?

• Video class: Calculus 1: Lecture 1.5 Infinite Limits

  1h07m

• Exercise: What does it mean if the limit of f(x) as x approaches c equals infinity?

• Video class: Calculus 1: Lecture 2.1 The Derivative and the Tangent Line Problem

  1h03m

• Exercise: What is the slope variable in the equation of a line y = mx + b?

• Video class: Calculus 1: Lecture 2.2, 2.3, 2.4 Differentiation, Rates of Change, Product, Quotient, Chain Rules

  2h23m

• Exercise: What is the derivative of f(x) = 7x^6 + 3sin(x)?

• Video class: Calculus 1: Lecture 2.5 Implicit Differentiation

  0h57m

• Exercise: Consider the function y = x² + sin(x). What is the derivative of y with respect to x?

• Video class: Calculus 1: Lecture 2.6 Related Rates

  0h53m

• Exercise: A spherical balloon is inflated with gas at a rate of 700 cubic centimeters per minute. How fast is the radius of the balloon changing when the radius is 15 centimeters?

• Video class: Calculus 1: Lecture 3.1 Extrema on an Interval

  0h51m

• Exercise: What is the absolute maximum value of a continuous function on a closed interval?

• Video class: Calculus 1: Lecture 3.2 Rolle's Theorem and the Mean Value Theorem

  1h07m

• Exercise: Consider a function f that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b). According to Rolle's theorem, if f(a) = f(b), which of the following must be true?

• Video class: Calculus 1: Lecture 3.3 Increasing and Decreasing Functions and the First Derivative Test

  0h39m

• Exercise: Which of the following is true about a function whose first derivative is negative on an interval?

• Video class: Calculus 1: Lecture 3.4 Concavity and The Second Derivative Test

  1h27m

• Exercise: Consider the function f(x) = x^3 - 6x^2 + 8. At which x-value does the function have a relative minimum?

• Video class: Calculus 1: Exam 2 Review

  1h08m

• Exercise: What is the derivative of the function f(x) = 3x^2 + cos(x) - sec(x)?

• Video class: Calculus 1: Lecture 3.5 Limits at Infinity

  0h59m

• Exercise: Given a function f(x) that approaches a number L as x approaches infinity, what does this imply about f(x)?

• Video class: Calculus 1: Lecture 3.6 A Summary of Curve Sketching

  0h31m

• Exercise: To find the x-intercept of a function, what must you do?

• Video class: Calculus 1: Lecture 3.7 Optimization Problems

  0h34m

• Exercise: Given a rectangle with a fixed perimeter of 90 units, what is the maximum area that can be achieved?

• Video class: Calculus 1: Lecture 3.8 Newton's Method

  0h41m

• Exercise: Which of the following statements about Newton's Method is correct?

• Video class: Calculus 1: Lecture 5.1 The Natural Logarithmic Function Differentiation

  0h40m

• Exercise: Find the derivative of the function f(x) = ln(9x). Use the chain rule to simplify your answer.

• Video class: Calculus 1: Lecture 5.2 The Natural Logarithmic Function Integration

  0h37m

• Exercise: What is the integral of 1/x dx?

• Video class: Calculus 1: Lecture 5.4 Exponential Functions Differentiation and Integration

  1h15m

• Exercise: What is the integral of the function e^(7x - 4) with respect to x?

• Video class: Calculus 1: Lecture 6.2 Growth and Decay(Separable Differential Equations Only in This Video)

  0h42m

• Exercise: Which of the following statements correctly describes a property of differential equations?