This is the second part of the Precalculus introductory course. You will be facing more challenging mathematical problems in this course than the first part.

Plane and solid geometry, logarithms and exponentials, equalities and inequalities, trigonometric functions and identities are some of the topics you will be learning about in details.

This course is ideal for anyone who are interested in developing their mathematical skills and studying in the final year of high school.

**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 Exponential functions | 00:09:00 | ||

1.2 It’s your turn on exponential functions | 00:08:00 | ||

1.3 The Euler number | 00:07:00 | ||

1.4 It’s your turn on the Euler number | 00:04:00 | ||

1.5 Functions and their inverses | 00:10:00 | ||

1.6 It’s your turn on functions and their inverses | 00:08:00 | ||

1.7 Natural logarithms | 00:09:00 | ||

1.8 Common logarithms | 00:08:00 | ||

1.9 It’s your turn on logarithms | 00:08:00 | ||

2.1 Trigonometry by triangles | 00:09:00 | ||

2.2 It’s your turn on trigonometry by triangles | 00:06:00 | ||

2.3 Trigonometry by the unit circle | 00:09:00 | ||

2.4 It’s your turn on trigonometry by the unit circle | 00:07:00 | ||

2.5 Graphs of trigonometric functions | 00:07:00 | ||

2.6 It’s your turn on graphs of trigonometric functions | 00:07:00 | ||

2.7 Trigonometric identities | 00:07:00 | ||

2.8 It’s your turn on trigonometric identities | 00:09:00 | ||

2.9 Harmonic motion | 00:10:00 | ||

2.10 It’s your turn on harmonic motion | 00:10:00 | ||

2.11 The function arctan | 00:06:00 | ||

2.12 It’s your turn on the function arctan | 00:08:00 | ||

2.13 More inverse trig functions, and a few others | 00:06:00 | ||

2.14 It’s your turn on More inverse trig functions, and a few others | 00:08:00 | ||

3.1 Geometry of the plane points, segments, lines | 00:11:00 | ||

3.2 It’s your turn on geometry of the plane points, segments, lines | 00:09:00 | ||

3.3 Distance and circles | 00:08:00 | ||

3.4 It’s your turn on distance and circles | 00:10:00 | ||

3.5 Ellipses | 00:08:00 | ||

3.6 It’s your turn on ellipses | 00:08:00 | ||

3.7 Parabolas and hyperbolas | 00:08:00 | ||

3.8 Archimedes the area under a parabola | 00:08:00 | ||

3.9 It’s your turn on parabolas and hyperbolas – 1 – | 00:04:00 | ||

3.10 It’s your turn on Parabolas and hyperbolas – 2 – | 00:07:00 | ||

3.11 Level curves of quadratic functions | 00:12:00 | ||

3.12 It’s your turn on level curves of quadratic functions – 1 – | 00:06:00 | ||

3.13 It’s your turn on Level curves of quadratic functions – 2 – | 00:10:00 | ||

3.14 It’s your turn on Level curves of quadratic functions , 3 | 00:07:00 | ||

3.15 Lengths, areas and volumes | 00:07:00 | ||

3.16 It’s your turn on lengths, areas, and volumes | 00:09:00 | ||

4.1 Equations with exponentials and logarithms | 00:12:00 | ||

4.2 It’s your turn on Equations with exponentials and logarithms | 00:07:00 | ||

4.3 Growth and decay problems | 00:10:00 | ||

4.4 It’s your turn on growth and decay problems | 00:06:00 | ||

4.5 Basic Trigonometric equation | 00:07:00 | ||

4.6 More advanced Trigonometric equations | 00:10:00 | ||

4.7 It’s your turn on trigonometric equations | 00:09:00 | ||

4.8 Inequalities with logarithms and exponentials | 00:05:00 | ||

4.9 It’s your turn on inequalities with logarithms and exponentials, 1 | 00:08:00 | ||

4.10 Trigonometric inequalities | 00:11:00 | ||

4.11 It’s your turn on trigonometric inequalities, 1 | 00:05:00 | ||

4.12 It’s your turn on trigonometric inequalities, 2 | 00:08:00 | ||

4.13 From polar to cartesian coordinates | 00:05:00 | ||

4.14 From cartesian to polar coordinates | 00:11:00 | ||

4.15 It’s your turn on polar coordinates | 00:06:00 | ||

Assessment | |||

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

Certification | 00:00:00 |

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