Calculus Two: Sequences and Series (Coursera)

Calculus Two: Sequences and Series (Coursera)

Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"

Class Deals by MOOC List - Click here and see Coursera's Active Discounts, Deals, and Promo Codes.

Syllabus
Week 1: Sequences
Week 2: Series
Week 3: Convergence Tests
Week 4: Alternating Series
Week 5: Power Series
Week 6: Taylor Series
Week 7: Final

Note: This course is currently not available.

Related Courses

The Finite Element Method for Problems in Physics (Coursera) Coursera
University of Michigan

The Finite Element Method for Problems in Physics (Coursera)

This course is an introduction to the finite element method as applicable to a range of problems in physics and engineering sciences. The treatment is mathematical, but only for the purpose of clarifying the formulation. The emphasis is on coding up the formulations in a modern, open-source environment that can be expanded to other applications, subsequently.

Sep 7th 2026
13-24 Weeks
Interest Rate Models (Coursera) Coursera
École Polytechnique Fédérale de Lausanne

Interest Rate Models (Coursera)

This course gives you an easy introduction to interest rates and related contracts. These include the LIBOR, bonds, forward rate agreements, swaps, interest rate futures, caps, floors, and swaptions. We will learn how to apply the basic tools duration and convexity for managing the interest rate risk of a bond portfolio. We will gain practice in estimating the term structure from market data. We will learn the basic facts from stochastic calculus that will enable you to engineer a large variety of stochastic interest rate models. In this context, we will also review the arbitrage pricing theorem that provides the foundation for pricing financial derivatives.

Sep 21st 2026
5-12 Weeks
Calculus for Machine Learning and Data Science (Coursera) Coursera
DeepLearning.AI

Calculus for Machine Learning and Data Science (Coursera)

After completing this course, learners will be able to: analytically optimize different types of functions commonly used in machine learning using properties of derivatives and gradients; approximately optimize different types of functions commonly used in machine learning using first-order (gradient descent) and second-order (Newton’s method) iterative methods; visually interpret differentiation of different types of functions commonly used in machine learning; perform gradient descent in neural networks with different activation and cost functions.

Sep 7th 2026
3 Weeks
Vector Calculus for Engineers (Coursera) Coursera
The Hong Kong University of Science and Technology - HKUST

Vector Calculus for Engineers (Coursera)

Vector Calculus for Engineers covers both basic theory and applications. In the first week we learn about scalar and vector fields, in the second week about differentiating fields, in the third week about multidimensional integration and curvilinear coordinate systems. The fourth week covers line and surface integrals, and the fifth week covers the fundamental theorems of vector calculus, including the gradient theorem, the divergence theorem and Stokes’ theorem. These theorems are needed in core engineering subjects such as Electromagnetism and Fluid Mechanics.

Sep 7th 2026
5-12 Weeks
Calculus through Data & Modeling: Precalculus Review (Coursera) Coursera
Johns Hopkins University

Calculus through Data & Modeling: Precalculus Review (Coursera)

This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus. The unifying theme is the study of functions, including polynomial, rational, exponential, logarithmic, and trigonometric functions. An emphasis is placed on using these functions to model and analyze data. Graphing calculators and/or the computer will be used as an integral part of the course.

Sep 7th 2026
4 Weeks
Data Science Math Skills (Coursera) Coursera
Duke University

Data Science Math Skills (Coursera)

Data science courses contain math—no avoiding that! This course is designed to teach learners the basic math you will need in order to be successful in almost any data science math course and was created for learners who have basic math skills but may not have taken algebra or pre-calculus. Data Science Math Skills introduces the core math that data science is built upon, with no extra complexity, introducing unfamiliar ideas and math symbols one-at-a-time.

Sep 24th 2026
4 Weeks
Mathematical Biostatistics Boot Camp 1 (Coursera) Coursera
Johns Hopkins University

Mathematical Biostatistics Boot Camp 1 (Coursera)

This class presents the fundamental probability and statistical concepts used in elementary data analysis. It will be taught at an introductory level for students with junior or senior college-level mathematical training including a working knowledge of calculus. A small amount of linear algebra and programming are useful for the class, but not required.

Sep 14th 2026
4 Weeks
Image and video processing: From Mars to Hollywood with a stop at the hospital (Coursera) Coursera
Duke University

Image and video processing: From Mars to Hollywood with a stop at the hospital (Coursera)

In this course, you will learn the science behind how digital images and video are made, altered, stored, and used. We will look at the vast world of digital imaging, from how computers and digital cameras form images to how digital special effects are used in Hollywood movies to how the Mars Rover was able to send photographs across millions of miles of space.

Sep 7th 2026
5-12 Weeks
Precalculus: Relations and Functions (Coursera) Coursera
Johns Hopkins University

Precalculus: Relations and Functions (Coursera)

This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning student to begin their scientific career, preparing them for future science and calculus courses. This course is designed for all students, not just those interested in further mathematics courses.

Sep 7th 2026
4 Weeks