This is a basic course on Calculus which introduces you to the fundamental mathematical skills required to complete a first course on Calculus.

Factoring and division, sets and set operations, reasoning and proof, functions and graphs and equations and inequalities which are the basic Pre-calculus requisites necessary for an advanced Degree will be taught in this course.

This is a course which will not bore you with the history of math but the fun of it.

**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 need 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 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: University of Padova

### Course Curriculum

1.1 Alberto and Carlo explain the course structure | 00:02:00 | ||

1.2 Integers | 00:06:00 | ||

1.3 Integers in practice | 00:07:00 | ||

1.4 Discussion in practice Gauss sum | 00:05:00 | ||

1.5 Rational numbers | 00:08:00 | ||

1.6 Rational numbers in practice | 00:05:00 | ||

1.7 Absolute value | 00:06:00 | ||

1.8 Absolute value in practice | 00:10:00 | ||

1.9 An induction proof | 00:06:00 | ||

1.10 An induction proof in practice | 00:05:00 | ||

2.1 The function concept | 00:07:00 | ||

2.2 The function concept in practice | 00:07:00 | ||

2.3 The graph of a function | 00:06:00 | ||

2.4 Geometry of graphs Monotonicity and symmetry | 00:05:00 | ||

2.5 Geometry of graphs Odd functions, asymptotes and translation | 00:06:00 | ||

2.6 The graph of a function in practice | 00:07:00 | ||

2.7 Integer powers | 00:06:00 | ||

2.8 Integer powers in practice | 00:04:00 | ||

2.9 Roots and radicals | 00:05:00 | ||

2.10 Roots and radicals in practice | 00:04:00 | ||

2.11 Simplifying radicals | 00:06:00 | ||

2.12 Simplifying radicals in practice | 00:06:00 | ||

2.13 Rational powers | 00:06:00 | ||

2.14 Rational powers in practice | 00:10:00 | ||

3.1 Polynomial and identities | 00:07:00 | ||

3.2 Polynomial and identities in practice | 00:09:00 | ||

3.3 Roots of polynomials | 00:08:00 | ||

3.4 Roots of polynomials in practice | 00:06:00 | ||

3.5 Roots of quadratic polynomials | 00:08:00 | ||

3.6 Graphs of quadratic polynomials | 00:06:00 | ||

3.7 Quadratic polynomials in practice | 00:08:00 | ||

3.8 The Euclidian division algorithm | 00:05:00 | ||

3.9 The Factor Theorem | 00:05:00 | ||

3.10 Polynomial division in practice | 00:08:00 | ||

3.11 Finding roots | 00:07:00 | ||

3.12 Finding roots in practice | 00:10:00 | ||

3.13 Binomial coefficients | 00:06:00 | ||

3.14 Binomial coefficients in practice | 00:07:00 | ||

4.1 Introduction types of equations | 00:07:00 | ||

4.2 Types of equations in practice – Part 1 | 00:05:00 | ||

4.3 Types of equations in practice – Part 2 | 00:07:00 | ||

4.4 Equivalence | 00:06:00 | ||

4.5 Equivalence in practice | 00:06:00 | ||

4.6 Polynomial equations | 00:07:00 | ||

4.7 Polynomial equations in practice | 00:09:00 | ||

4.8 Equations involving a radical | 00:09:00 | ||

4.9 Equations involving a radical in practice | 00:07:00 | ||

4.10 Equations with several radicals | 00:06:00 | ||

4.11 Equations involving several radicals in practice | 00:07:00 | ||

4.12 Equations with absolute values | 00:08:00 | ||

4.13 Equations with absolute values in practice | 00:09:00 | ||

4.14 Systems | 00:06:00 | ||

4.15 The determinant and substitution methods | 00:06:00 | ||

4.16 Equations in several variables in practice – The linear case | 00:07:00 | ||

4.17 Equations in several variables in practice – The NON linear case | 00:08:00 | ||

5.1 General principles | 00:09:00 | ||

5.2 General principles in practice | 00:06:00 | ||

5.3 The quadratic case | 00:11:00 | ||

5.4 The quadratic case in practice | 00:06:00 | ||

5.5 Polynomial inequalities | 00:08:00 | ||

5.6 Polynomial inequalities in practice | 00:05:00 | ||

5.7 Inequalities with one radical | 00:09:00 | ||

5.8 The case of two radicals | 00:04:00 | ||

5.9 Inequalities with radicals in practice | 00:10:00 | ||

5.10 Inequalities with absolute values | 00:07:00 | ||

5.11 Inequalities with absolute values in practice | 00:10:00 | ||

5.12 Lines in the plane | 00:08:00 | ||

5.13 Lines in the plane in practice | 00:08:00 | ||

5.14 Systems of linear inequalities | 00:08:00 | ||

5.15 Systems of linear inequalities in practice | 00:09:00 | ||

Assessment | |||

Submit Your Assignment | 00:00:00 | ||

Certification | 00:00:00 |

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