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Quick facts
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Medium of instructions
English
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Mode of learning
Self study
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Mode of Delivery
Video and Text Based
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Course overview
Calculus is a field of mathematics that deals with calculating simultaneous rates of change and the accumulation of an infinite number of tiny elements to arrive at a final result. Calculus MASTER, Zero To Mastery is an online certification established by Data Science Academy, ML Master Trainer, and offered by Udemy for candidates who want to master the fundamentals of calculus from scratch.
Calculus MASTER, Zero To Mastery online course is designed to assist candidates in learning the fundamentals as well as advanced concepts of precalculus, calculus 1, calculus 2, and calculus 3. Calculus MASTER, Zero To Mastery online classes include 44 hours of prerecorded lectures, four downloadable resources, and 18 articles covering topics such as algebra, derivatives, antiderivatives, graphs, series, sequences, vectors, polar coordinates, exponents, logarithms, and limits.
The highlights
- Certificate of completion
- Self-paced course
- 44 hours of pre-recorded video content
- 18 articles
- 4 downloadable resources
Program offerings
- Online course
- Learning resources. 30-day money-back guarantee
- Unlimited access
- Accessible on mobile devices and tv
Course and certificate fees
Fees information
certificate availability
certificate providing authority
What you will learn
After completing the Calculus MASTER, Zero To Mastery certification course, candidates will gain a comprehensive understanding of the fundamental concepts of calculus, and precalculus in the mathematics discipline. Candidates will learn about algebra, integration, derivatives, antiderivatives, exponents, functions, graphs, limits, logarithms, series, sequences, vectors, parametric, and polar coordinates, among other topics in calculus. Candidates will also gain a solid understanding of derivatives applications and integration applications.
Who it is for
The syllabus
Calculus MASTER
PRE CALCULUS
- College Algebra
- 01. PreCalc 1.1 Exponents
- 02. PreCalc 1.2 Radicals
- 03. 1.3 Quadratic Expressions and Equations
- 04. 1.4 Rational Expressions
- 05. 1.5 Complex Numbers
- 06. 1.6 Complete the Square
- 07. 1.7 Solving Linear Formulas
- 08. 1.8 Absolute Value Equations and Inequalities
- Functions and Graphs
- 09. 2.1 Functions
- 10. 2.2 Algebra of Functions
- 11. 2.3 Inverse Functions
- 12. 2.4 Applications of Functions
- 13. 2.5 Reading Graphs of Functions
- 14. 2.6 Transformations of Graphs
- 15. 2.7 Transformation of Basic Functions
- Graphs of Key Functions
- 16. 3.1 Graphs of Polynomials
- 17. 3.2 Synthetic Division
- 18. 3.3 Rational Root Theorem
- 19. 3.4 Graphs of Reciprocal Functions
- 20. 3.5 Graphs of Rational Functions
- Exponents and Logarithms
- 21. 4.1 Exponential Equations with a Common Base
- 22. 4.2 Properties of Logs
- 23. 4.3 Solving Exponential Equations by using Logs
- 24. 4.4 Solving Log Equations
- 25. 4.5 Applications of Exponents and Logs
- Pre CALCULUS SOURCES
CALCULUS I
- Limits
- 2.1 A Preview of Calculus
- 02. 2.2 The Limit of a Function
- 03. 2.3 The Limit Laws
- 04. 2.4 Continuity
- 05. 2.5 The Precise Definition of a Limit
- Derivatives
- 06. 3.1 Defining the Derivative
- 07. 3.2 The Derivative as a Function
- 08. 3.3 Differentiation Rules
- 09. 3.4 Derivatives as Rates of Change
- 10. 3.5 Derivatives of Trigonometric Functions
- 11. 3.6 The Chain Rule
- 12. 3.7 Derivatives of Inverse Functions
- 13. 3.8 Implicit Differentiation
- 14. 3.9 Derivatives of Exponential and Logarithmic Functions
- 15. 3.10 Partial Derivatives
- Applications of Derivatives
- 16. 4.1 Related Rates
- 17 4 2 Linear Approximations and Differentials
- 18. 4.3 Maxima and Minima
- 19. 4.4 The Mean Value Theorem
- 20. 4.5 Derivatives and the Shape of a Graph
- 21. 4.6 Limits at Infinity and Asymptotes
- 22. 4.7 Applied Optimization Problems
- 23. 4.8 L'Hopital's Rule
- 24. 4.9 Newton's Method
- 25. 4.10 Antiderivatives
- SOURCES
CALCULUS II
- Antiderivatives and Integration
- 01. 5.0 Derivative Review
- 02. 5.1 Approximating Areas
- 03. 5.2 The Definite Integral
- 04. 5.3 The Fundamental Theorem of Calculus
- 06. 5.4 Integration Formulas and the Net Change Theorem
- 07. 5.5 Substitution
- 08. 5.6 Integrals Involving Exponential and Logarithmic Functions
- 09. 5.7 Integrals Resulting in Inverse Trigonometric Functions
- Applications of Integration
- 10. 6.1 Area between Curves
- 11. 6.2 Determining Volumes by Slicing
- 12. 6.3 Volumes of Revolution Cylindrical Shells
- 13. 6.4 Arc Length of a Curve and Surface Area
- 14. 6.5 Physical Applications
- 15. 6.6 Moments and Centers of Mass
- 16. 6.7 Integrals, Exponential Functions, and Logarithms
- 17. 6.8 Exponential Growth and Decay
- Advanced Integration Techniques
- 18. 3.1 Integration by Parts
- 19. 3.2 Trigonometric Integrals
- 20. 3.3 Trigonometric Substitution
- 21. 3.4 Partial Fractions
- 22. 3.5 Other Strategies for Integration
- 23. 3.7 Improper Integrals
- 24. 3.8 Double Integrals
- Calculus II, SOURCES
CALCULUS III
- Sequences and Series
- Sequences
- Infinite Series
- The Divergence and Integral Tests
- Comparison Tests
- Alternating Series
- Ratio and Root Tests
- Power Series and Functions
- Properties of Power Series
- Taylor and Maclaurin Series
- Parametric and Polar Coordinates
- Conic Sections
- Parametric Equations
- Calculus of Parametric Curves
- Polar Coordinates
- Area and Arc Length in Polar Coordinates
- VESTORS
- Vectors in the Plane
- Vectors in Three Dimensions
- The Dot Product
- The Cross Product
- Equations of Lines and Planes in Space
- Quadric Surfaces
- Cylindrical and Spherical Coordinates
- Vector-Valued Functions
- Vector-Valued Functions and Space Curves
- Calculus of Vector-Valued Functions
- Arc Length and Curvature
- Motion in Space
- SOURCES