Math 1C Advanced Calculus
This course is a continuation of the calculus sequence (Math 1A- Differential Calculus, and Math 1B - Integral Calculus). This course is Math 1C-(Advanced Calculus -primarily: infinite series; vector functions).Student Learning Outcomes (What math from this course you should be able to do at the end of the quarter)
1. Graphically, analytically, numerically and verbally analyze infinite sequences and series from the perspective of convergence, using correct notation and mathematical precision.
2. Apply infinite sequences and series in approximating functions.
3. Synthesize and apply vectors, polar coordinate system and parametric representations in solving problems in analytic geometry, including motion in space.
The basic content of this course covers Parametric Equations & Polar Coordinates;
Infinite Sequences & Series; Vectors & the Geometry of Space; Vector–Valued Functions.
Two of the chapters ( Parametrics & Vectors) is virtually all algebra, but there is
some calculus related to area and arc-length. Sequences/Series is the essential theory
of understanding how a calculator/computer computes virtually all the various mathematical
functions (logarithms, trig, etc.). Your knowledge of limits is very crucial to this
lengthy chapter. Vector-Valued Functions does indeed bring us back to derivatives
and integrals.
Keep in mind: many colleges on a semester system have two semesters of calculus to
make up a full year of calculus, whereas those schools (De Anza/Foothill, others)
on a quarter system use three quarters to make a full year of calculus. Guideline:
wherever you begin your calculus sequence is where you should finish that sequence.
Transferring between semester and quarter systems during the calculus sequence can
create problems of missed material/information.
Please make certain you have read the General Information ; Don't take more than 3 courses this quarter, especially if one is Calculus.
We proceed at about a section every two days. You should anticipate spending 3 (or
more) hours per day doing the homework problems, even on each day of the weekend.
To download the syllabus for this course, click on the link Math 1C Syllabus You can then either print it or save it to your desktop.