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Academic Guidance Academic Guidance - Academic guidance for those pursuing a college degree... what college? Grad school? PhD help?


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November 8th, 2015, 11:53 PM   #1
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What and how to study

Hi I am 28 and I decided to try math again. I used to be a good math student until 9 th grade. But than it got really really bad. I absolutely fell behind and math became a nightmare for me.
I think that my failure was due to psychological factors and a very fast paced curriculum.
Now I want to go back to math because when I was a child I liked it quite a lot and recently I discovered my interest in computers. I've never tried programming but maybe in future I will.
I also enjoy watching numberphile videos because they show beauty of mathematics.
I would also try to prove myself I am not so stupid as I've thought since high-school.
What do you suggest I study, where should I start and what to focus on?
Last week I started pre algebra on khan academy and I already knew about 3/4 of it, the rest is new to me. I think it would be necessary to take algebra after that.
What should I study after algebra? I enjoy geometry like constructing shapes when given angles and calculating area of something. I also enjoy learning about patterns and properties of numbers when numberphile explains it.
I really suck at functions and I never understood them. I had real problems working with abstract letters when I had no idea what they meant.
I know there are many areas of mathematics but I don't know what they deal with. Can you give me an advice how to build my basics and what topic should I study on more advanced level?
My purpose is mainly to be able to see elegance and beauty and to train my brain. Just maybe I might need it in future for programming but I am not sure if I will ever go that direction.
Thank you.
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December 24th, 2015, 10:41 AM   #2
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The high school math I learned was algebra, then geometry, then trigonometry. Here are chapter titles for each:

1. Sequential Math I: 14 chapters
Numbers and Variables- Basic concepts
Logic and Truth Tables
Solving Linear Equations
Solving Literal Equations and inequalities
Operations With Polynomials
Factoring
Operations With Algebraic Fractions
Operations With Irrational Numbers
Fundament Ideas In Geometry
Comparing and Measuring Geometric Figures
Equations of Lines; Introduction to Transformations
Solving Systems of Equations Inequalities
Probability
Statistics

2. Sequential Math II: 12 chapters
Logic
Mathematical Systems
Polynomials and Algebraic Fractions
Solving Linear and Quadratic Equations
Basic Geometric Terms and Proving Triangles Congruent
Parallel Lines and Triangles
Special Quarilaterals and Polygons
Similar and Right Triangles
Coordinate Geometry
Locus and Constructions
Quadratic Equations In Two Variables
Probability and Combinations

3. Sequential Math III: 10 chapters
Review and Extension of Algebraic Methods
Review and Extension of Equation Solving
Complex Numbers
Relations, Functions, and Transformations
Exponential and Logarithmic Functions
Circles
Trigonometric Functions: The General Angle
Trigonometric Identities, Equations, and Formulas
Solving Triangles
Bernoulli Experiments, the Binomial Theorem, and the Normal Curve
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