problems:start
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problems:start [2020/02/27 12:11] zjohnson |
problems:start [2020/02/27 12:32] (current) zjohnson [Multi-Variable Calculus :] |
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| - | ====== Beginning Differential Calculus : ====== | + | ====== Beginning Differential Calculus ====== |
| * Problems on the | * Problems on the | ||
| - | * limit of a function as x approaches a fixed constant | + | * [[problems:limitConstant|limit of a function]] as x approaches a fixed constant |
| * limit of a function as x approaches plus or minus infinity | * limit of a function as x approaches plus or minus infinity | ||
| - | * limit of a function using the precise epsilon/delta definition of limit | + | * limit of a function using the precise epsilon/delta definition of limit |
| - | * limit of a function using l'Hopital's rule | + | * limit of a function using l'Hopital's rule |
| * Problems on the continuity of a function of one variable | * Problems on the continuity of a function of one variable | ||
| * Problems on the "Squeeze Principle" | * Problems on the "Squeeze Principle" | ||
| 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 | ||
problems/start.1582834296.txt.gz · Last modified: 2020/02/27 12:11 by zjohnson
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