Foundations A math book for first year at University? (Similar to Tipler)

[jonjacson]

Hi folks,

I was wondering if there exists a generic book that explains all the math for a first year at the university. I am thinking about a book like Tipler in Physics, but for Math.

The topics I need to review are:

Vectors in 3d. Scalar, vector and mixed product.

Trigonometry.

Straight line (relative position, equations...)

Conic sections. Solving angles, distances, areas, volumes.

Real functions. Limits.

Continuity and derivavility. Applications.

Integral calculus: primitive function, indefinite integrals, chage of variables, definite integrals. Fundamental theorem. Barrow rule. Area of plane regions.

Two dimensional statistics. Linear regresion.

Discrete random variables. Probability functions. Continuous random variables. Density functions. Distribution functions. Normal distribution.

¡Thanks!

 

[TonyEsposito]

Maybe you are looking for Precalculus and Calculus by James Stewart, but they do not include statistics or probability :/

 

[jonjacson]

Thanks anyway!

 

[bacte2013]

Hubbard/Hubbard's Vector Calculus, Linear Algebra, and Differential Forms coupled with APEX Calculus books. The former is excellent introduction to the rigorous vector calculus with LA (and also includes some applications to statistics), and latter is very explanatory (but basic) and free.

 

[jonjacson]

Open Source books, interesting.

Thanks.