For generations of mathematics, engineering, and physics students, the name Tom M. Apostol is synonymous with rigor, elegance, and intellectual challenge. His two-volume series, Calculus , is widely regarded as a gold standard for advanced undergraduate analysis. However, there is one volume that particularly separates the determined from the casual learner: Volume 2, Multi-Variable Calculus and Linear Algebra with Applications to Differential Equations and Probability .

So begin your quest. But remember: the best "solution" is the one you work out yourself after a long, arduous, and ultimately rewarding battle with the material.

If you use the resources above ethically, you will not only pass your course or self-study; you will genuinely understand multi-variable calculus and linear algebra at a level that prepares you for graduate analysis, differential geometry, or theoretical physics.