《高等数学英文ppt课件》由会员分享，可在线阅读，更多相关《高等数学英文ppt课件（16页珍藏版）》请在金锄头文库上搜索。
1、Advanced MathematicsWan Yuan School of Science, WHUTMy mailbox: My phone: 13971622102Class mailbox: Some rules for our class nPlease take notesnPlease turn off your cell-phonesnIf you are late, just come in and join usnAsk questions as soon as possiblenDo homework by yourselfnHand up your homework i
2、n timeIntroduction Advanced mathematics is a primary course for collagestudent.In this class, we will introduce some basic conceptsand some useful tools of mathematics for your furtherstudy or research.Part onenTheoretical basis of CalculusnThe differential Calculus and its ApplicationnThe integral
3、Calculus and its ApplicationI. The Integers and the Rational Numbers1. Set (集合集合)Def: A collection of numbers which share the same property.natural numberrational (irrational) number (positive, negative) integer自然数自然数（正、负）整数（正、负）整数有有( (无）理数无）理数real number 实数实数real line实轴实轴origin原点原点complex number 复数
4、复数positive number 正数正数negative number 负数负数1.1 Preliminaries for Calculus 2. The Four Arithmetic Operations （四则运算）（四则运算）addsumsubtractdifferencemultiplydivideproductquotient（加减乘除）（加减乘除）（和差积商）（和差积商）I. The Integers and the Rational Numbers1.1 Preliminaries for Calculus II. InequalitiesOpen IntervalClos
5、ed IntervalInfinite Interval1. Intervals （区间）（区间）1.1 Preliminaries for Calculus 2. Neighborhood of point a (点点 a 的邻域）的邻域）Geometric Interpretation:The set of point x whose distance from point a is less than a is the center of this neighborhood, and is the radius.II. Inequalities1.1 Preliminaries for
6、Calculus II. Inequalities3. Solve InequalitiesSolution Then the solution set is . Example1 Solve the inequality . 1.1 Preliminaries for Calculus III. Absolute Values （绝对值）（绝对值）1. Absolute valueSolution Example 2 Let be a positive number. Find a positive number such that Then we choose . 1.1 Prelimin
7、aries for Calculus III. Absolute Values2. Square Rootsprincipal rootsQuadratic Formulaare the roots for equation 1.1 Preliminaries for Calculus IV. The Rectangular Coordinate System1. Cartesian Coordinate （笛卡尔坐标系）（笛卡尔坐标系）coordinate axes坐标轴坐标轴x-axisy-axisquadrant象限象限x-coordinatey-coordinatey-coordina
8、teP1.1 Preliminaries for Calculus IV. The Rectangular Coordinate System2. Distance formula 1.1 Preliminaries for Calculus IV. The Rectangular Coordinate System3. The Equation of a Circle Standard formGeneral form1.1 Preliminaries for Calculus V. The Straight Line1. The Slope of a Line （直线的斜率）（直线的斜率）numerator denominator 分子分子分母分母1.1 Preliminaries for Calculus V. The Straight Line2. The Forms of a LineThe point-slope formThe slope-intercept formThe general linear form1.1 Preliminaries for Calculus
