• LOGIN
  • No products in the cart.

The aim of this course is to assume knowledge of elementary calculus. This is the first course in a two-part sequence on Calculus with Theory, 18.014 and 18.024. In 18.014, Calculus with Theory, it covers the same material as 18.01 (Single Variable Calculus), but at a deeper and more rigorous level. In this course it also emphasizes careful reasoning and understanding of proofs.

Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

Certification

Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of the assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certificate at a cost of £49.

Having an Official Edukite Certification is a great way to celebrate and share your success. You can:

  • Add the certificate to your CV or resume and brighten up your career
  • Show it to prove your success

 

 

Course Credit: MIT

Course Curriculum

Module 01
L-1 Integers and exponents 00:50:00
L-2 Square roots, and the existence of irrational numbers 00:20:00
L-3 The Riemann condition 00:45:00
L-4 Properties of integrals 00:50:00
L-5 Integrability of bounded piecewise-monotonic functions 00:10:00
L-6 Continuity of the square root function 00:05:00
L-7 Rational exponents – an application of the intermediate-value theorem 00:25:00
L-8 The small span theorem and the extreme-value theorem 00:50:00
L-9 Theorem and proof 00:05:00
L-10 Exercises on derivatives 00:10:00
Module 02
L-11 The fundamental theorems of calculus 00:45:00
L-12 The trigonometric functions 00:40:00
L-13 The exponential and logarithm functions 00:50:00
L-14 Integration 00:25:00
L-15 Taylor’s formula 00:55:00
L-16 L’Hopital’s rule for 00 00:30:00
L-16 L’Hopital’s rule for 00 00:30:00
L-17 Notes on error estimates 00:10:00
L-18 The basic theorems on power series 00:50:00
L-19 A family of non-analytic functions 00:15:00
L-20 Fourier Series 00:50:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

Course Reviews

4.7

4.7
9 ratings
  • 5 stars0
  • 4 stars0
  • 3 stars0
  • 2 stars0
  • 1 stars0

No Reviews found for this course.

644 STUDENTS ENROLLED

Best Recommend Courses

Subscribe to our newsletter

  • Get top tips & guidance from our in-house study abroad experts

Inquiry

info@edukite.org

top
©2021 Edukite. All Rights Resereved
EduKite is a part of Ebrahim College, Charity commission reg no. 1108141