This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision | ||
problems:start [2020/02/27 12:12] zjohnson |
problems:start [2020/02/27 12:32] (current) zjohnson [Multi-Variable Calculus :] |
||
---|---|---|---|
Line 8: | Line 8: | ||
- | ====== Beginning Differential Calculus : ====== | + | ====== Beginning Differential Calculus ====== |
* Problems on the | * Problems on the | ||
* [[problems:limitConstant|limit of a function]] as x approaches a fixed constant | * [[problems:limitConstant|limit of a function]] as x approaches a fixed constant | ||
Line 31: | Line 31: | ||
* Problems on the Mean Value Theorem ... tex2html_wrap_inline125 | * Problems on the Mean Value Theorem ... tex2html_wrap_inline125 | ||
- | Beginning Integral Calculus : | + | ====== Beginning Integral Calculus ====== |
- | Problems using summation notation | + | * Problems using summation notation |
- | Problems on the limit definition of a definite integral | + | * Problems on the limit definition of a definite integral |
- | Problems on u-substitution | + | * Problems on u-substitution |
- | Problems on integrating exponential functions | + | * Problems on integrating exponential functions |
- | Problems on integrating trigonometric functions | + | * Problems on integrating trigonometric functions |
- | Problems on integration by parts | + | * Problems on integration by parts |
- | Problems on integrating certain rational functions, resulting in logarithmic or inverse tangent functions | + | * Problems on integrating certain rational functions, resulting in logarithmic or inverse tangent functions |
- | Problems on integrating certain rational functions by partial fractions | + | * Problems on integrating certain rational functions by partial fractions |
- | Problems on power substitution | + | * Problems on power substitution |
- | Problems on integration by trigonometric substitution | + | * Problems on integration by trigonometric substitution |
- | Problems on the area of an enclosed region in two-dimensional space | + | * Problems on the area of an enclosed region in two-dimensional space |
- | Problems on volume of solid of revolution using disc method | + | * Problems on volume of solid of revolution using disc method |
- | Problems on volume of solid of revolutions using shell method | + | * Problems on volume of solid of revolutions using shell method |
- | Problems on volume of static solids by cross-sectional area | + | * Problems on volume of static solids by cross-sectional area |
- | Problems on moment, mass, center of mass, and centroid | + | * Problems on moment, mass, center of mass, and centroid |
- | Problems on kinetic energy | + | * Problems on kinetic energy |
- | Problems on work | + | * Problems on work |
- | Problems on force of water pressure | + | * Problems on force of water pressure |
- | Problems on arc length | + | * Problems on arc length |
- | Problems on surface area | + | * Problems on surface area |
- | Problems on Pappus' Theorem | + | * Problems on Pappus' Theorem |
- | Sequences and Infinite Series : | + | |
- | Multi-Variable Calculus : | + | |
- | Problems on partial derivatives | + | |
- | Problems on the chain rule | + | |
- | Problems on critical points and extrema for | + | |
- | unbounded regions | + | |
- | bounded regions | + | |
- | Problems on double integrals using | + | |
- | rectangular coordinates | + | |
- | polar coordinates | + | |
- | Problems on triple integrals using | + | |
- | rectangular coordinates | + | |
- | cylindrical coordinates | + | |
- | spherical coordinates | + | |
+ | ====== Sequences and Infinite Series ====== | ||
+ | ====== Multi-Variable Calculus : ====== | ||
+ | * Problems on partial derivatives | ||
+ | * Problems on the chain rule | ||
+ | * Problems on critical points and extrema for | ||
+ | * unbounded regions | ||
+ | * bounded regions | ||
+ | * Problems on double integrals using | ||
+ | * rectangular coordinates | ||
+ | * polar coordinates | ||
+ | * Problems on triple integrals using | ||
+ | * rectangular coordinates | ||
+ | * cylindrical coordinates | ||
+ | * spherical coordinates | ||
+ | |||
Sponsor : UC DAVIS DEPARTMENT OF MATHEMATICS | Sponsor : UC DAVIS DEPARTMENT OF MATHEMATICS | ||