Become a Calculus 1 Master by Udemy
Learn everything from Calculus 1, then test your knowledge with 600+ practice questions
Course Highlights
- Limits & Continuity, including how to solve every kind of limit problem, and how to find discontinuities in a function
- Derivatives, including all of the derivative rules, the infamous chain rule, and how to do implicit differentiation
- Applications of Derivatives, including two of the hardest topics from Calc 1: optimization and related rates
Skills you will learn!
Curriculum
4 Topics
What we'll learn in this course
How to get the most out of this course
Download the formula sheet
The EVERYTHING download
15 Topics
Introduction to definition of the limit
RESOURCE: Quiz solutions for this section
Idea of the limit
Idea of the limit
Idea of the limit
One-sided limits
One-sided limits
One-sided limits
Proving that the limit does not exist
Proving that the limit does not exist
Proving that the limit does not exist
Precise definition of the limit
Precise definition of the limit
Precise definition of the limit
BONUS! Extra practice problems. :)
9 Topics
Introduction to combinations and composites
RESOURCE: Quiz solutions for this section
Limits of combinations
Limits of combinations
Limits of combinations
Limits of composites
Limits of composites
Limits of composites
BONUS! Extra practice problems. :)
15 Topics
Introduction to continuity
RESOURCE: Quiz solutions for this section
Point discontinuities
Point discontinuities
Point discontinuities
Jump discontinuities
Jump discontinuities
Jump discontinuities
Infinite discontinuities
Infinite discontinuities
Infinite discontinuities
Endpoint discontinuities
Endpoint discontinuities
Endpoint discontinuities
BONUS! Extra practice problems. :)
9 Topics
Introduction to Intermediate Value Theorem
RESOURCE: Quiz solutions for this section
Intermediate Value Theorem with an interval
Intermediate Value Theorem with an interval
Intermediate Value Theorem with an interval
Intermediate Value Theorem without an interval
Intermediate Value Theorem without an interval
Intermediate Value Theorem without an interval
BONUS! Extra practice problems. :)
27 Topics
Introduction to solving limits
RESOURCE: Quiz solutions for this section
Solving with substitution
Solving with substitution
Solving with substitution
Solving with factoring
Solving with factoring
Solving with factoring
Solving with conjugate method
Solving with conjugate method
Solving with conjugate method
Infinite limits and vertical asymptotes
Infinite limits and vertical asymptotes
Infinite limits and vertical asymptotes
Limits at infinity and horizontal asymptotes
Limits at infinity and horizontal asymptotes
Limits at infinity and horizontal asymptotes
Crazy graphs
Crazy graphs
Crazy graphs
Trigonometric limits
Trigonometric limits
Trigonometric limits
Making the function continuous
Making the function continuous
Making the function continuous
BONUS! Extra practice problems. :)
6 Topics
Introduction to Squeeze Theorem
RESOURCE: Quiz solutions for this section
Squeeze Theorem
Squeeze Theorem
Squeeze Theorem
BONUS! Extra practice problems. :)
6 Topics
Introduction to definition of the derivative
RESOURCE: Quiz solutions for this section
Definition of the derivative
Definition of the derivative
Definition of the derivative
BONUS! Extra practice problems. :)
30 Topics
Introduction to derivative rules
RESOURCE: Quiz solutions for this section
Power rule
Power rule
Power rule
Power rule for negative powers
Power rule for negative powers
Power rule for negative powers
Power rule for fractional powers
Power rule for fractional powers
Power rule for fractional powers
Product rule with two functions
Product rule with two functions
Product rule with two functions
Product rule with three or more functions
Product rule with three or more functions
Product rule with three or more functions
Quotient rule
Quotient rule
Quotient rule
Trigonometric derivatives
Trigonometric derivatives
Trigonometric derivatives
Exponential derivatives
Exponential derivatives
Exponential derivatives
Logarithmic derivatives
Logarithmic derivatives
Logarithmic derivatives
BONUS! Extra practice problems. :)
15 Topics
Introduction to chain rule
RESOURCE: Quiz solutions for this section
Chain rule with power rule
Chain rule with power rule
Chain rule with power rule
Chain rule with trig log and exponential functions
Chain rule with trig log and exponential functions
Chain rule with trig log and exponential functions
Chain rule with product rule
Chain rule with product rule
Chain rule with product rule
Chain rule with quotient rule
Chain rule with quotient rule
Chain rule with quotient rule
BONUS! Extra practice problems. :)
15 Topics
Introduction to other derivatives
RESOURCE: Quiz solutions for this section
Inverse trigonometric derivatives
Inverse trigonometric derivatives
Inverse trigonometric derivatives
Hyperbolic derivatives
Hyperbolic derivatives
Hyperbolic derivatives
Inverse hyperbolic derivatives
Inverse hyperbolic derivatives
Inverse hyperbolic derivatives
Logarithmic differentiation
Logarithmic differentiation
Logarithmic differentiation
BONUS! Extra practice problems. :)
18 Topics
Introduction to tangent and normal lines
RESOURCE: Quiz solutions for this section
Tangent lines
Tangent lines
Tangent lines
Value that makes two tangent lines parallel
Value that makes two tangent lines parallel
Value that makes two tangent lines parallel
Values that make the function differentiable
Values that make the function differentiable
Values that make the function differentiable
Normal lines
Normal lines
Normal lines
Average rate of change
Average rate of change
Average rate of change
BONUS! Extra practice problems. :)
15 Topics
Introduction to implicit differentiation
RESOURCE: Quiz solutions for this section
Implicit differentiation
Implicit differentiation
Implicit differentiation
Equation of the tangent line with implicit differentiation
Equation of the tangent line with implicit differentiation
Equation of the tangent line with implicit differentiation
Higher-order derivatives
Higher-order derivatives
Higher-order derivatives
Second derivatives with implicit differentiation
Second derivatives with implicit differentiation
Second derivatives with implicit differentiation
BONUS! Extra practice problems. :)
24 Topics
Introduction to optimization and sketching graphs
RESOURCE: Quiz solutions for this section
Critical points and the first derivative test
Critical points and the first derivative test
Critical points and the first derivative test
Inflection points and the second derivative test
Inflection points and the second derivative test
Inflection points and the second derivative test
Intercepts and vertical asymptotes
Intercepts and vertical asymptotes
Intercepts and vertical asymptotes
Horizontal and slant asymptotes
Horizontal and slant asymptotes
Horizontal and slant asymptotes
Sketching graphs
Sketching graphs
Sketching graphs
Extrema on a closed interval
Extrema on a closed interval
Extrema on a closed interval
Sketching f(x) from f'(x)
Sketching f(x) from f'(x)
Sketching f(x) from f'(x)
BONUS! Extra practice problems. :)
12 Topics
Introduction to linear approximation
RESOURCE: Quiz solutions for this section
Linear approximation
Linear approximation
Linear approximation
Estimating a root
Estimating a root
Estimating a root
Absolute relative and percentage error
Absolute relative and percentage error
Absolute relative and percentage error
BONUS! Extra practice problems. :)
18 Topics
Introduction to related rates
RESOURCE: Quiz solutions for this section
Radius of the balloon
Radius of the balloon
Radius of the balloon
Price of the product
Price of the product
Price of the product
Water level in the tank
Water level in the tank
Water level in the tank
Observer and the airplane
Observer and the airplane
Observer and the airplane
Ladder sliding down the wall
Ladder sliding down the wall
Ladder sliding down the wall
BONUS! Extra practice problems. :)
6 Topics
Introduction to applied optimization
RESOURCE: Quiz solutions for this section
Applied optimization
Applied optimization
Applied optimization
BONUS! Extra practice problems. :)
15 Topics
Introduction to derivative theorems
RESOURCE: Quiz solutions for this section
Mean Value Theorem
Mean Value Theorem
Mean Value Theorem
Rolle's Theorem
Rolle's Theorem
Rolle's Theorem
Newton's Method
Newton's Method
Newton's Method
L'Hospital's Rule
L'Hospital's Rule
L'Hospital's Rule
BONUS! Extra practice problems. :)
15 Topics
Introduction to physics and economics
RESOURCE: Quiz solutions for this section
Position velocity and acceleration
Position velocity and acceleration
Position velocity and acceleration
Ball thrown up from the ground
Ball thrown up from the ground
Ball thrown up from the ground
Coin dropped from the roof
Coin dropped from the roof
Coin dropped from the roof
Marginal cost revenue and profit
Marginal cost revenue and profit
Marginal cost revenue and profit
BONUS! Extra practice problems. :)
15 Topics
Introduction to exponential growth and decay
RESOURCE: Quiz solutions for this section
Half life
Half life
Half life
Newton's Law of Cooling
Newton's Law of Cooling
Newton's Law of Cooling
Sales decline
Sales decline
Sales decline
Compounding interest
Compounding interest
Compounding interest
BONUS! Extra practice problems. :)
4 Topics
Practice final exam #1 (optional)
Practice final exam #2 (optional)
Calculus 1 final exam
Wrap-up
Become a Calculus 1 Master
Related Calculus Courses
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