I will start calculus 2 in the fall. I am comfortable with the integration techniques. I did not quite get Taylor series an d the like during self study. I can learn this from the professor swing that I have somewhat completed the cal 2 portion and the semester is 2 months away. now my question is for calculus 3? I am allowed to take linear algebra together with calculus 2 at the same time, but I opted. Instead I will be taking cal 2, physics intro, computer science intro, and a spanish class. Can calculus 3 be done without knowing introduction linear algebra? The only pre rec for calculus 3 is calculus 2. Would I also have to learn proof writing when I take linear algebra? I do not know anything of proof writing besides proof by induction and a few proofs of calculus 1, trig, and algebra I have seen in my college textbooks. I will be purchasing a copy of "How to solve it" to learn basic proof reasoning. If I need to self study linear algebra to do well in calculus 3, what would be a great introduction to linear algebra? I prefer one where the language is clear and not to hard, like say Spivak Calculus, but will allow me to grasp the material.