diff --git a/2bc0c8-2024_spring_TA/hw_list.typ b/2bc0c8-2024_spring_TA/hw_list.typ new file mode 100644 index 0000000..2533f16 --- /dev/null +++ b/2bc0c8-2024_spring_TA/hw_list.typ @@ -0,0 +1,190 @@ +#set text( + font: ("linux libertine", "Source Han Serif SC", "Source Han Serif"), + size: 10pt, +) +#show math.equation: it => text(size: 10pt, math.display(it)) +#let dcases(..args) = { + let dargs = args.pos().map(it => math.display(it)) + math.cases(..dargs) +} + +#show image: it => align(center, it) +#show heading.where(level: 3): it => highlight(it) + +#let Real = "Re" +#let Imaginary = "Im" + +#set page( + header: context [ + #h(1fr) + #if counter(page).get().first() > 1 [ + *作业答案汇总* + ] + ], + footer: context [ + #let headings = query(selector(heading.where(level: 2)).before(here())) + #if headings.len() > 0 { + text(size: 8pt, headings.last().body) + } + #h(1fr) + #counter(page).display( + "1/1", + both: true, + ) + ], +) + +#align(center)[ + = 作业答案汇总 + 2024 Spring 数学分析 B2 + + 马天开 #h(1em) 刘国瑞 #h(1em) 刘董 +] + +- Week 1: + - 2.26 P14 67 19 21 + + - 2.28 P14 8 12 24 27 P23 2 5 + + - 3.1 P24 7(1) 8(1) 10 11 14 15 18 19(2) 23(1) 27 28 33 35 + +- Week 2: + - 3.4 P36 1(1)(5) 3(1)(3) 4 5 8 9 10 11 + + - 3.6 P43 3 5 6 + + - 3.8 P62 2 6 + +- Week 3: + - 3.11 P62 12 14(3)(4)(8)(10)(11)(12) 15 17(1)(3)(4) 15 17(1)(3)(4) 18 21 + + - 3.13 P80 1(3) 2(2)(5)(8) 3 4 6 13(4)(5) 15 16 17 + + - 3.15 P81 9(2)(5) 11 12 22 23 24 + +- Week 4: + - 3.18 P82 19(3)(4) 20(3)(4) 25 27 30 32 33 34 36(2)(5) + + - 3.20 P95 2(1)(2)(4) 3 + + - 3.22 P95 4(2)(4) 7 9 10 11(3) 12(2) 13 + +- Week 5: + - 3.25 + + - 3.27 P109 6(1) 8(2) 9 10 11 15 17(2) + + - 3.29 P124 1(1) 2(2) 3 4(1)(2)(5) 5 + +- Week 6: + - 4.1 P125 7(3)(4)(5) + + - 4.3 P125 9 10(3)(4) 11(1)(3) 13 18 19 20 21 + + // - 4.5 + +- Week 7: + // - 4.7 + + - 4.8 P156 2(1)(2)(3)(6)(7)(8) + + - 4.10 P156 1(2)(3)(5)(6) 3 5 6 7 + + - 4.12 P166 1(1)(4)(5) 2(2)(5)(8) 3(2)(3) 4 6 7 + +- Week 8: + - 4.15 P180 1(2)(3)(4) 2(2)(4) 3(1)(2)(3)(5)(6)(8) + + - 4.17 P181 4(3)(5)(6) 5(2)(4)(6)(7) 6 7 8 9 + + // - 4.19 + +- Week 9: + - 4.22 P193 1(3)(4)(5) 2(2)(5)(9)(10)(11)(12) + + - 4.24 P199 1(1)(2)(5) 2(2)(3)(6)(7) 3 4 + + - 4.26 P214 1(3)(4)(6) 2 + +- Week 10: + - 4.29 P215 4(2)(3)(4)(6) 5 6 + + // - 5.1 + + // - 5.3 + +- Week 11: + - 5.6 + + + + $ + I = integral_L (x-y) / (x^2+y^2) dif x + (x+y) / (x^2+y^2) dif y + $ + + $L$: 从 $A(-a,0)$ 经过上半椭圆 $x^2/a^2+y^2/b^2=1 space (y>=0)$ 到 $B(a,0)$ 的一段曲线 + + + + $ + I = integral.cont_Gamma e^y / (x^2+y^2)[(x sin x+y cos x) dif x\ +(y sin x - x cos x) dif y] + $ + + $Gamma: x^2+y^2=1$, 逆时针方向 + + - 5.8 P227 1(1)(3)(5)(6)(7) 2 + + 补充: + + 设 $S$ 为 $z-c=sqrt(R^2-(x-a)^2-(y-b)^2)$ 的上侧, 计算: + + $ + I = integral.double_S x^2dif y dif z+y^2 dif z dif x+(x-a)y z dif x dif y + $ + + - 5.10 P233 1(3)(5)(6) 2 3 4 7 + + - 5.11 P234 9(2)(4)(5)(6) 10 11 12 + +- Week 12: + + - 5.13 P241 3 + + - 5.15 P247 2(1) 3(1) 4 5(2) 6(2)(6) 7 9 10 11 12(1) + + // - 5.17 + +- Week 13: + - 5.20 P269 1(1)(2) 2(1)(3) + + - 5.22 P269 3(1)(3) 4 5 8 9 + + - 5.24 P279 1 2 3 5 6 + +- Week 14: + - 5.27 P285 1 4 5 6 8 9 + + - 5.29 P294 1(2) 2(2) 3 4 5 + + // - 5.31 + +- Week 15: + - 6.3 P307 1(1)(2)(3)(9)(10)(12) 2(3)(4)(5) 3 4 + + - 6.5 P317 1(2) 2(2)(4) 4(1)(2)(4) + + - 6.7 + + 设 $f(x)in C[0,1]$ 讨论 $F(t)=integral_0^1 t/(x^2+t^2) f(x) dif x$ 连续性 + +- Week 16: + + // - 6.10 + + - 6.12 P331 1(3)(5)(6) 2(2)(4)(5)(6) 3 + + - 6.14 P331 6 7(2)(5)(6) 8(1)(3)(6) + +- Week 17 (无需提交): + + - 6.17 P340 1 2 3(2)(3)(4)(8)(9)(10) + + // - 6.19 \ No newline at end of file