## The Wonderful World of Mathematics

Whenever math is mentioned you can see the look of horror in so many people's faces. Many people have fallen in battle against integrals and trigonometric functions.

When I was a graduate student, I had three groups of students:

Group A: those intending to go into the math, engineering, and physical sciences field

Group B: those intending to go into business and life sciences

Group C: those majoring in the liberal arts

Don't worry, we all had fun in the end! Each group had a different approach. With one group, I would focus on algebra and computations while another group would use calculus. Essentially the topics were similar such as examining the central limit theorem; however, the approach changes for psychology students versus statistics students. Each group had a unique learning style which was important for me when I tailored the information to their needs.

Basically, I will simplify the explanations for these topics as I begin, so that you can all start on an "even" playing field. Once you have understood the foundations, everyone will have the knowledge and skills to move on to calculus and more advanced topics.

Under the math section, you will find my notes and examples for precalculus and calculus I and II. The Precalculus Review section will cover topics traditionally found in precalculus courses (reviewing concepts in algebra and trigonometry) which will provide you with a solid foundation for calculus.

Since precalculus, calculus 1, and calculus 2 are the most common courses taken by students at the university level (as well as those preparing to enter university), I will put these notes and information up first. Once I have completed those, I will add calculus 3 (multivariable calculus) and maybe calculus 4 (elementary differential equations).

When I was a graduate student, I had three groups of students:

Group A: those intending to go into the math, engineering, and physical sciences field

Group B: those intending to go into business and life sciences

Group C: those majoring in the liberal arts

Don't worry, we all had fun in the end! Each group had a different approach. With one group, I would focus on algebra and computations while another group would use calculus. Essentially the topics were similar such as examining the central limit theorem; however, the approach changes for psychology students versus statistics students. Each group had a unique learning style which was important for me when I tailored the information to their needs.

Basically, I will simplify the explanations for these topics as I begin, so that you can all start on an "even" playing field. Once you have understood the foundations, everyone will have the knowledge and skills to move on to calculus and more advanced topics.

Under the math section, you will find my notes and examples for precalculus and calculus I and II. The Precalculus Review section will cover topics traditionally found in precalculus courses (reviewing concepts in algebra and trigonometry) which will provide you with a solid foundation for calculus.

Since precalculus, calculus 1, and calculus 2 are the most common courses taken by students at the university level (as well as those preparing to enter university), I will put these notes and information up first. Once I have completed those, I will add calculus 3 (multivariable calculus) and maybe calculus 4 (elementary differential equations).