Setting a Mathematics Goal (A Math Journey)

[B][FONT=Arial][SIZE=1][FONT=Arial][SIZE=1][COLOR=black]I do not know if anyone else feels this way, but I have always wanted to be good at math.[/COLOR]
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[COLOR=black]In high school I took Algebra, Algebra II, Geometry, Pre-Calculus, Chemistry, and Physics.[/COLOR]
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[COLOR=black]I got through most of those classes with a C or maybe a B-, but the concepts did not stick and I was always terrible at them even when I attempted many many practice problems.[/COLOR]
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[COLOR=black]I have a goal one day (I have no idea when) to sit down and take math courses, when I am done with pursuing my masters degree, and improve my math skills.[/COLOR]
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[COLOR=black]I may do this when I finish my Masters Degree, but I am not sure yet as I want to focus on the skills that can increase my payrate at work (like attaining a CCIE).[/COLOR]
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[COLOR=black]I hope to one day take each course, one at a time, one right after the other, paying attention to the curriculum and learning it very well building a strong mathematical foundation knowing I will be building off of it in the next class. Just for my own personal gain and to become a math genius over the span of many many years.[/COLOR]
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[COLOR=black]I have taken probably about 3 or 4 problem solving or other business or electronics math courses in college, but I am rusty in many things as I always use a calculator (a WYSIWYG calculator actually). [/COLOR]
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[COLOR=black]I am thinking about starting all the way back to the basics because I literally cannot remember all the nuances of doing long division on paper showing my work (not that I could not pick it up again fast).[/COLOR]
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[COLOR=black]Looking at a local community college's catalog and the catalog for the University of TN Knoxville, I looked at their classes as a good layout and path to follow:[/COLOR]
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[B][COLOR=black][FONT=Arial]MTH 051 Arithmetic of Whole Numbers (0-2) 1 hr.[/FONT][/COLOR][/B]
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[B][COLOR=black][FONT=Arial]MTH 052 Arithmetic of Fractions and Decimals (0-2) 1 hr.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial] [/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 053 Arithmetic of Ratio, Proportion, Percent[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]and Measurement (0-2) 1 hr.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial] [/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 054 Graphs, Geometry and[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]Signed Numbers (0-2) 1 hr.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial] [/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 055 Basic Mathematics (3-0) 3 hrs. (Covers all of the 4 classes above in one class, better option for the very simple stuff to ensure I do not get bored)[/FONT][/COLOR][/B]
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[B][COLOR=black][FONT=Arial]MTH 060 Foundations of Mathematics I (4-0) 4 hrs. ([/FONT][/COLOR][/B][B][COLOR=black][FONT='Arial','sans-serif']Introduces basic concepts of algebra including real numbers, variables and algebraic expressions, equations, inequalities, ratios and proportions, Cartesian coordinate system and graphs of relations. Emphasizes mathematical reasoning and problem solving utilizing multiple approaches (algebraic, geometric, and numeric techniques) with focus on mathematical definitions, theorems, symbols, and notation.)[/COLOR][/B][/SIZE][/FONT][SIZE=1][B][COLOR=black][/COLOR][/B]
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[B][COLOR=black][FONT=Arial]MTH 061 Elementary Algebra I (1-0) 1 hr.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 062 Elementary Algebra II (1-0) 1 hr.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 063 Elementary Algebra III (1-0) 1 hr.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 067 Foundations of Mathematics 1A (1-2) 2 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 068 Foundations of Mathematics 1B (1-2) 2 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 070 Plane Geometry (3-0) 3 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 080 Foundations of Mathematics II (4-0) 4 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 101 Quantitative Literacy (4-0) 4 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 103 College Algebra (3-0) 3 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 104 Plane Trigonometry (3-0) 3 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 124 Finite Mathematics (3-0) 3 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 140 Precalculus (5-0) 5 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 165 Elementary Statistics (4-0) 4 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 200 Calculus with Analytic Geometry I (5-0) 5 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 201 Calculus with Analytic Geometry II (5-0) 5 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 202 Calculus with Analytic Geometry III (5-0)5 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 203 Linear Algebra (4-0) 4 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 212 Differential Equations (3-0) 3 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]MTH 220 Discrete Mathematics (3-0) 3 hrs.[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]202 Probability, Statistics, and Euclidean Geometry (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]251 Matrix Algebra I (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]300 Introduction to Abstract Mathematics (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]341 Analysis I (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]371 Numerical Algorithms (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]404 Applied Vector Calculus (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]421 Combinatorics (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]423 Probability (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]424 Stochastic Processes (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]425 Statistics (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]431 Differential Equations II[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]435 Partial Differential Equations (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]443 Complex Variables (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]445 Advanced Calculus I (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]446 Advanced Calculus II (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]453 Matrix Algebra II (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]455 Abstract Algebra I (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]456 Abstract Algebra II (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]460 Geometry (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]461 Topology (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]462 Differential Geometry (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]471 Numerical Analysis (3)[/FONT][/COLOR][/B]
[B][COLOR=black][FONT=Arial]472 Numerical Algebra (3)[/FONT][/COLOR][/B]
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[B][COLOR=black][FONT=Arial]After compiling this list it seems like an impossible goal! LOL. But I would be happy just to get through CALC 3 and DIFF EQ 2. I guess I need something to do with my free time as I go through the years. It could be fun![/FONT][/COLOR][/B]
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[B][COLOR=black][FONT=Arial]Any of you guys ever wish you were excellent at math?[/FONT][/COLOR][/B]

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Some of what I just found blows my mind. Reading the descriptions for these graduate level courses makes my brain turn sideways. I have never heard of most of the words used in the description of these classes:

513 Mathematical Principles of Fluid Mechanics I (3)
514 Mathematical Principles of Fluid Mechanics II (3)
515 Analytical Applied Mathematics I (3)
516 Analytical Applied Mathematics II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1][B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]521 Enumerative Combinatorics I (3)
[/SIZE][/FONT][/SIZE][/FONT][/B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1][/SIZE][/FONT][/SIZE][/FONT][B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]522 Enumerative Combinatorics II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]523 Probability I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]524 Probability II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]525 Statistics I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]526 Statistics II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]527 Stochastic Modeling (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]529 Seminar in Stochastics (1-3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]531 Ordinary Differential Equations I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]532 Ordinary Differential Equations II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]534 Calculus of Variations (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]535 Partial Differential Equations I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]536 Partial Differential Equations II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]537 Mathematical Principles of Continuum Mechanics I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]538 Mathematical Principles of Continuum Mechanics II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]545 Real Analysis (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]546 Complex Analysis (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]547 Applied Linear Analysis (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]551 Modern Algebra I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]552 Modern Algebra II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]555 Number Theory I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]556 Number Theory II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]561 Topology I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]562 Topology II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]567 Riemannian Geometry I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]568 Riemannian Geometry II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]571 Numerical Mathematics I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]572 Numerical Mathematics II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]574 Finite Element Methods (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]575 Matrix Theory and Techniques in Numerical Analysis (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]577 Optimization (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]578 Numerical Methods for Partial Differential Equations (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]585 Optimal Control Theory (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]617 Geometry of Groups (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]623 Advanced Probability I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]624 Advanced Probability II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]629 Seminar in Combinatorics (1-3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]635 Advanced Partial Differential Equations I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]636 Advanced Partial Differential Equations II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]641 Functional Analysis I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]642 Functional Analysis II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]645 Advanced Analysis I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]646 Advanced Analysis II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]651 Advanced Modern Algebra I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]652 Advanced Modern Algebra II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]661 Modern Topology I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]662 Modern Topology II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]663 Algebraic Topology I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]664 Algebraic Topology II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]667 Modern Geometry I (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]668 Modern Geometry II (3)
[B][FONT=Arial-BoldMT][SIZE=1][FONT=Arial-BoldMT][SIZE=1]673 Advanced Topics in Numerical Partial Differential Equations (3)

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I took have a desire to improve upon my math skills. However, the above graduate course list makes me want to crawl under my desk and assume a fetal position!

Tom

 

Scariest sounfing math course EVER: Enumerative Combinatorics 2

Why are there 2 4 hour long classes covering this subject! Sounds like one of those classes that changes your life in a bad way.

 

firstmode4c,

If you're interested in a review but not interested in taking classes, I found this British maths review site helpful. Please note the subjects listed in the left-hand pane are in alphabetical, not increasing level of difficulty, order. Each section has a video where the subject is quickly explained - it is a review, after all - along with a .pdf topic guide and some exercises.

Also for calculus you can use Adrian Banner's excellent Calculus Lifesaver book and video Website. The first chapter of the book is available at the link (along with purchase instructions for the book) plus two dozen videotaped lectures. Just like being in class.

If you're in for something more advanced, don't forget the perennial favorite of self-learners, MIT's OpenCourseWare site of class outlines and supplementary materials.

Good luck,
Mark

 

I think this is a great goal! I tried something like it once*. I pushed myself into the differential equations, number theory section of your list and then I had to sadly admit to myself that I was out of my depth. What I told myself at that time was that the only way I could continue to progress was if I had a personal tutor who could explain, in painstaking detail, over and over, every time I did not get it. I would sit in class and begin to get that feeling that I was losing touch with the material. Then I would look around and it seemed clear that many others were actually right with the instructor. I was taking Thermodynamics and Special Relativity at the same time. I learned some fascinating material but I knew that I had reached my limit. Again, I think that your goal is a great one. Push yourself. I never regreted my attempt.

* compliments to UMass-Boston. In my opinion, an underrated school.

 

I was a virtual math moron in high school. I took all of the basic courses, because that's all I could grasp. I couldn't even solve algebra problems until I took the Penn Foster College Math for Business and Finance course, which actually does cover a lot of algebra. The textbook for that course was fantastic, and taught me something my high school math teachers never could.

I don't have a burning desire to master anything more complicated, really. My real passion lies in history. I am a History Channel junkie and I destroy my co-workers at Trivial Pursuit. It is my dream one day to get a graduate degree in history, and perhaps even teach it to other students via DL, after I retire from my "real" job and I'm living in Mexico or Panama. In fact, I read history web sites and text books for fun. My family hates going to history museums with me, because I could literally spend an entire weekend in them. I especially enjoy studying the American Civil War.

So, do I want to study more math? Nope. That's why God made calculators.

 

I love your goal. I totally understand it.
I have a romantic image of being good at math and science. I was so excited when I signed up for biology 101 this year. Holy cow, it was a lot harder than I thought. I remember biology from high school, but this 101 class kicked my butt. It was a hard "B" to earn (my only B!) and I actually only passed my final exam by the skin of my teeth. I wanted to drop that class every single week.
As it turns out, what I love is actually called "6th grade science" Who knew?

So, I get it, I really do. I love smart people- math and science people process things differently. (my oldest son is one of those people) I just think there are things that come naturally to some people, and the rest of us have to work very hard to develop that skill. What requires a great deal of concentration for me is something my son might see without effort- like in a logic problem.

I also have failed miserably in foreign languages- something that I would like to try again without the pressure of needing the credit. Maybe after this masters.