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I think I will be more confident if I didn't have to take Multivariable Calculus or if I chose easier AP courses for my senior year, but I did not choose easy courses (2 are easy AP courses and the other 2 I am thinking of are very hard ones). When I was a junior, I took 3 hard AP courses and 1 medium-level AP course without a Study Hall (2 of them were online courses without an actual teacher physically near me), so my parents believe that I will be able to manage it. universities and Korean universities, so the dates are different). The course itself is only 3 months, and I'm aiming to get it done before applying to universities (I am applying to both U.S. Mathematics is one of my strongest courses, so I have never really had a huge problem with it, but now that I am taking an actual college course, including 4 AP courses or 5 AP courses (depending on the school's decision), I'm not sure. I hope to get it finished by mid-August, when I am actually starting Multivariable Calculus. I am currently reviewing AP Calculus BC (it's been 2 days).

However, I am a little worried about my senior year schedule since I have an additional college class (Multivariable Calculus) and I took AP Calculus BC in 10th grade, meaning I have forgotten a lot of Calculus. I was able to finish 4 AP courses in my junior year without Study Hall and managed to get good scores.

The school has recommended Multivariable Calculus from Johns Hopkins University (CTY Program) because I completed AP Calculus BC in 10th grade and took AP Statistics in 11th grade and I can't really 'rest' and do nothing for 12th grade.Īnyway, I may also be taking 4 AP courses in my senior year (it could be 5 AP exams, if I include AP Chinese which I am deciding whether to self-study or not because I already took Mandarin 4 in 10th grade, but my school probably will not let me take 5 AP courses). I took 4 AP courses in my junior year and got good scores. I am a rising senior, who took 7 AP courses in total. Completion of the AP Calculus BC curriculum with a score of 4 or 5 on the AP Exam would be considered adequate preparation.Hi. Pre-requisite: The equivalent of a college year of single-variable calculus, including integration techniques, such as trigonometric substitution, integration by parts, and partial fractions. We conclude with the major theorems (Green’s, Stokes’, Gauss’) of the course, applying each to some physical applications that commonly appear in calculus-based physics. We use line and surface integrals to calculate physical quantities especially relevant to mechanics and electricity and magnetism, such as work and flux, and we employ volume integrals for calculations of mass and moments of inertia. After our study of differentials in multiple dimensions, we move to integral calculus.

We study derivatives in multiple dimensions, we use the ideas of the gradient and partial derivatives to explore optimization problems with multiple variables, and we consider constrained optimization problems using Lagrangians.

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Understanding of a parametric curves as a trajectory described by a position vector is an essential concept, and this allows us to break free from 1-dimensional calculus and investigate paths, velocities, and other applications of science that exist in three-dimensional space. Students are expected to develop fluency with vector and matrix operations. We then move on to study partial derivatives, double and triple integrals, and vector calculus in both two and three dimensions. The course opens with a unit on vectors, which introduces students to this critical component of advanced calculus. We extend the Fundamental Theorem of Calculus to multiple dimensions, and the course will culminate in Green’s, Stokes’ and Gauss’ Theorems. In this course students learn to differentiate and integrate functions of several variables.

Multivariable calculus